邓引斌-华中师范大学数学学院中文站

邓引斌

English Version (英文版)

职称教授
办公室国交2号楼307室
邮箱ybdeng@ccnu.edu.cn

个人简介

1956年生于湖北天门，1982年元月获华中师范大学学士学位，1988年7月获中国科学院应用数学研究所硕士学位，2001年5月获武汉大学博士学位。1982年以来，一直在华中师范大学从事教学科研工作，1993年元月被华中师范大学特聘为正教授，2002年被聘为博士生指导教师，2007年被聘为华中师范大学二级教授，2020年被聘为华中师范大学博雅学者。曾任华中师范大学数学与统计学学院院长（原数学系系主任）、中国数学会理事，湖北省数学会副理事长、《数学通讯》杂志主编、现任数统学院学术委员会主任、《数学物理学报》常务编委。主要从事非线性偏微分方程及其应用等领域的研究，特别是对含临界增长的半线性椭圆方程, 拟线性椭圆方程, 双调和方程的解的存在性与非存在性, 多解性及其分支现象作了系统的研究。同时, 还对天体物理中的Emolen-Fowler方程和Euler-Possion方程的解的存在性及解的性态进行了探讨。目前正主持国家自然科学基金项目的研究。近几年来，曾多次主次或参与国家自然科学基金重点项目的研究、7次主持国家自然科学基金面上项目，多次主持国家自然科学基金天元基金项目，3次主持国家教育部各类基金（包括优秀年轻教师基金和高等学校骨干教师基金）的研究。多次应邀出访美国、澳大利亚、香港、瑞士、中科院等重要的国家和地区。发表论文近130多篇，100多篇被录入SCI国际重要检索系统。与人合作出版教材2部。与中国科学院物理与数学研究所合作研究的系列成果“非线性椭圆问题的多解及其形态研究”于2000年获湖北是自然科学二等奖。主持研究的科研成果“半线性椭圆问题的多解及其分支”于1989年获国家教育部科技进步三等奖。2001年获教育部优秀骨干教师奖。2009年获国家双语教学示范课建设项目资助,2010年元月，系列成果“非线性椭圆型与抛物型偏微分方程若干问题的研究” 获教育部自然科学二等奖。

开设课程

常微分方程， 偏微分方程， 微分几何， 高等数学

研究方向

非线性椭圆方程与抛物方程,非线性分析。

教育经历

1982年元月获华中师范大学学士学位
1988年7月获中国科学院应用数学研究所硕士学位
2001年5月获武汉大学博士学位

工作经历

1982年以来，一直在华中师范大学从事教学科研工作，
1993年元月被华中师范大学特聘为正教授，
2002年被聘为博士生指导教师，
2007年被聘为华中师范大学二级教授，
2020年被聘为华中师范大学博雅学者。
曾任华中师范大学数学与统计学学院院长（原数学系系主任）、中国数学会理事，湖北省数学会副理事长、《数学通讯》杂志主编
现任数统学院学术委员会主任、《数学物理学报》常务编委。

研究成果

2024年发表的论文
[1] Xiaoming An, Yinbin Deng and Xian Yang, Existence of positive solutions for weakly coupled Schrodinger system with supercritical growth. Discrete and Continuous Dynamical Systems-S, 17(2) (2024), 801-825.
[2] Yinbin Deng and Xian Yang, The higher regularity and decay estimates for positive solutions of fractional Choquard equations. Bulletin of the London Mathematical Society，56(4)(2024),1328-1340.
[3] Yinbin Deng, Shuangjie Peng and Xian Yang, Existence and decays of solutions for fractional Schrodinger equations with decaying potentials. Calc. Var. Partial Differ. Equ. (2024).
[4] Yinbin Deng and Xian Yang, Global higher regularity and decay estimates for positive solutions of fractional equations in RN.  Nonlinearity 37 (2024) 065016 (23pp).  
[5] Yinbin Deng, Longge Shi, On the existence of positive solution for a Neumann problem with double critical exponents in half-space. Journal of Differential Equations, 401 (2024), 376–427. 
[6] Yinbin Deng, Longge Shi and Xinyue Zhang, Existence of solutions for the critical Neumann problems with the supperlinear perturbation in the half-space. Math. Nachrichten, doi: 10.1002/mana.202300496 （20240801接受）.
[7] Yinbin Deng, Chenchen Liu and Xian Yang, Nodal solutions for a zero-mass Chern-Simons-Schrodinger equation. Adv. Non. Anal（202407接受）.
[8] Yinbin Deng, Shuangjie Peng and Xian Yang, Semi-classical states for fractional Choquard equations with decaying potentials. Communications in Contemporary Mathematics, DOI: 10.1142/S0219199724500469, (20240724接受).
2023年发表的论文
[1] Yinbin Deng, Qihan He, Yiqing Pan and Xuexiu Zhong, The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation, Adv. Nonlinear Stud. 23(2023) no1 ans-2022-0049, (20230112). 
[2] Yinbin Deng, Wei Shuai and Xuexiu Zhong, Existence and Concentration Results for the General Kirchhoff Type Equations, J. Geometry Analysis 33(2023), no.3 Paper No.88,22pp. 
[3] Yinbin Deng, Wei Shuai and Xiaolong Yang, Sign-changing solutions for the nonlinear Schrodinger-Poisson system with critical growth, Acta Math. Sci. 43B (5) 2291-2308.
[4] Yinbin Deng, Shuangjie Peng and Xian Yang, Uniqueness and non-degeneracy of ground states for Choquard equations with fractional Laplacian. J. Diff. Equans. 371(2023),299-352.
[5] Yinbin Deng, Yujin Guo and Liangsun Xu, Limiting Profiles of Two-Component Attractive Bose-Einstein Condensates Passing an Obstacle， Science of China Mathematics，66(8), (Auguest 2023), 1767-1788. 
[6] Yinbin Deng, Youjun Wang, Existence and asymptotic behavior of positive solutions for a class of quasilinear Schrodinger equations with parameters， Commun. Math. Sci. 21(7) (2023), 1989-2012.
[7] Yinbin Deng and Xinyue Zhang, Nodal solutions for a supercritical problem with variable exponent and logarithmic nonlinearity, Discrete and Continuous Dynamical Systems, 43(12) (2023), 4429-4453.
 2022年发表的论文	
[1] Yinbin Deng, Shuangjie Peng, Xinyue Zhang and Yang Zhou, A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations, J. Diff. Equans. 341(2022),150-188.
2021年发表的论文
[1] Yinbin Deng, Yujing Guo and Liangshun Xu, Limit Behavior of Attractive Bose-Einstein Condensates Passing an Obstacle. J. Diff. Equas. 272（2021），370-398.
[2] Yinbin Deng, Huirong Pi and Wei Shuai, Multiple Solutions for Logarithmic Schr?dinger Equations with Critical Growth, Methods and Applications of Analysis, 28(2), (2021 June)?,223-250.
[3] 邓引斌， 程婷， 彭双阶，《常微分方程》， 高教出版社，ISBN 978-7-04-053444-3, 2021.2.
2020年以前发表的论文
[1] Yinbin Deng, Qingfei Jin and Wei Shuai, Existence of positive ground state solution for Choquard system,  Adv. Nonlinear Stud., 20?(2020),?no. 4,?819–831.
[2] Yinbin Deng, Wentao Huang, Positive least energy solutions for  fractional Kirchhoff type equations  involving  critical growth， Discrete and Continuous Dynamical Systems, Series S,  12(7), 1929-1954 (20190105).
[3] Yinbin Deng, Yuxia Guo and Shusen Yan, Multiple solutions for critical quasilinear elliptic equations. Calc. Var. Partial Differential Equations, 58?(2019),?no. 1,?58:2.
[4] Yinbin Deng, Wentao Huang, Sen Zhang, Ground state solutions for  quasilinear Schrodinger equations with critical growth and lower power subcritical perturbation,  Adv. Nonlinear Stud. 19(1) (2019), 219-237.
[5] 邓引斌，黄文涛，广义拟线性Schrodinger 方程基态解的存在性，《中国科学》中文版（齐民友老师生日特刊）.
[6] Yinbin Deng and Wei Shuai, Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain,  Adv. Diff. Equns., 23(1-2)(2018), 109-134.
[7] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal Solutions for a Quasi- linear Elliptic Equation Involving the p-Laplacian and Critical Exponents, Advanced Nonlinear Studies, 18(1) (2018), 17-40. 
[8] Yinbin Deng, Shuangjie Peng and Wei Shuai, Nodal standing waves for a gauged nonlinear Schrodinger equation in R2, J. Differential Equations, 264 (2018), 4006-4035.
[9] Yinbin Deng, Yujin Guo and Lu Lu, Threshold Behavior and Uniqueness of Ground States for Mass Critical Inhomogeneous Schrodinger Equations，Journal  of Mathematical Physics 59(1), 011503 (2018). 
[10] Yinbin Deng and Wei Shuai, Sign-changing multi-bump solutions for Kirchhoff-type equtions in R3，Discrete and Continuous Dynamical Systems 58(6), 3241-3270. 
[11] Kun Cheng and Yinbin Deng, Nodal solutions for a generalized quasilinear     Schrodinger equation with critical exponents, Discrete Contin. Dyn. Syst. 37（1）（2017）77-103.
[12] Yinbin Deng and Wentao Huang, Positive ground state solutions for a quasilinear elliptic equation with critical exponent, Discrete Contin. Dyn. Syst. 37(8) (August 2017)4213-4230. 
[13] Yinbin Deng, Wentao Huang, Ground state solutions for generalized quasilinear Schrodinger equations without (AR) condition, J. Math. Anal. Appl., 456 (2017), 927-945.
[14] Yinbin Deng, Yi Li and Wei Shuai, Existence of solutions for a class of   p-Laplacian type equation with critical growth and potential vanishing at infinity, Discrete Contin. Dyn. Syst., 36(2) (2016), 683-699.
[15] Yinbin Deng, Shuangjie Peng and Shusen Yan, Critical exponents and solitary wave  solutions for generalized quasilinear Schrodinger equations, J. Differential Equations, 260(2) (2016)1228-1262. 
[16] Yinbin Deng and Wei Shuai, Existence and concentration behavior of sign-changing solutions for quasilinear Schrodinger equations, Science China, 59(6) (2016),1095-1112.
[17] Yinbin Deng, Yuxia Guo and Jiaquan Liu, Existence of solutions for quasilinear elliptic equations with Hardy potential, J. Math. Phys.  57(3) (2016), 031503, 15 pp.
[18] Yinbin Deng, Changshou Lin and Shusen Yan, On the prescribed scalar curvature problem in R^N, local uniqueness and Periodicity, J. Math. Pure Appl.  104(6)(2015), 1013-1044. 
[19] Yinbin Deng, Shuangjie Peng and Wei Shuai, Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in R^3,  J. Funct. Anal. 269 (11) (2015), 3500–3527.
[20] Yinbin Deng, Yujing Guo and Lu Lu, On the Collapse and Concentration of Bose-Einstein Condensates with Inhomogeneous Attractive Interactions, Calc. Var. Partial Differential Equations, 54(1) (2015), 99-118.
[21] Yinbin Deng, Shuangjie Peng and Shusen Yan, Positive soliton solutions for generalized quasilinear Schrodinger equations with critical growth, J. Differential Equations, 258(1) (2015), 115-147.
[22] Yinbin Deng, Lu Lu and Wei Shuai, Constraint Minimizers of Mass Critical Hartree Energy Functional: Existence and Mass Concentration, J. Math. Phys. 56(6)(2015), 061503, 15pp.
[23] Yinbin Deng and Wei Shuai, Nontrivial solutions for a semilinear biharmonic problem with critical growth and potential vanishing at infinity,  Proc. Royal Society of Edinburgh, Sect. A 145 (2) (2015), 281-299.
[24] Yinbin Deng, Yi Li and Xiujian Yan, Nodal solutions for a quasilinear Schrodinger equation with critical nonlinearity and non-square diffusion,  Commu. Pure Appl. Anal. 14(6) (2015), 2487-2508.
[25] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal soliton solutions for generalized quasilinear Schrodinger equations, J. Math. Phys.  55, 051501 (2014).
[26] Yinbin Deng, Shuangjie Peng and  Li Wang, Infinitely many radial solutions       
to elliptic systems involving critical exponents. Discrete Contin. Dyn. Syst. 34 (2014), no. 2, 461–475.
[27] Yinbin Deng, Shuangjie Peng and Huirong Pi, Bound States with Clustered  
Peaks for Nonlinear Schrodinger Equations with Compactly Supported Potentials, Advanced Nonlinear Studies (14) (2014), 421—439.
[28] Yinbin Deng and Wei Shuai, Positive solutions for a quasilinear Schrodinger equation with critical growth and potential vanishing at infinity,  Commu. Pure Appl. Anal. 13(6), (2014), 2273-2287.
[29] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal soliton solutions for   quasilinear Schr?dinger equations with critical exponent, J. Math. Phys. 54(2013).
[30] Yinbin Deng, Yi Li, Fen Yang, On the positive radial solutions of a class of singular semilinear elliptic equations, J. Differential Equations, 253(2012) 481-501.
[31] (Sci) Yinbin Deng, Shuangjie Peng and Li Wang, Existence of multiple solutions for a nonhomogeneous semilinear elliptic equation involving critical exponent, Discreate and continuous Dynamical Systems, 32(3) (2012), 795-826.
[32] Yinbin Deng, Linyu Jin and Shuangjie Peng, Solutions of Schrodinger Equations with Inverse Square Potential and Critical Nonlinearity,  J. Differential Equations, 253(2012) 1376-1398.
[33] (Sci) Yinbin Deng, Shuangjie Peng and Jixiu Wang, Infinitely many sign-changing solutions for quasilinear Schrodinger equations in R^N, Commun. Math. Sci. Vol.9, No. 3, pp.859-878,（2011）.
[34] (Sci) Yinbin Deng and Jixiu Wang, Critical exponents and critical dimensions for quasilinear elliptic problems, Nonlinear Analysis TMA, 74 (2011) 3458-3467.
[35] (Sci) Lingyu Jin and Yinbin Deng, A Global Compact Result for a Semilinear Elliptic Problem with Hardy Potential and Critical Nonlinearities on R^N, Science China Series A  53(2) (2010) 385--400.
[36] (Sci) Yinbin Deng, Na Ba and Huazhao, Xie, STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE, Acta Math. Sci. 30B (2010) 1347-1356. 
[37] (Sci) Na Ba, Yinbin Deng and Shuangjie Peng, Multi-peak Bound States for Schrdinger Equations with Compactly Supported or Unbounded Potentials, Ann. I. H. Poincare-AN 27 (2010) 1205-1226.
[38] (Sci) Yinbin Deng and Huazhao Xie, Multiple  stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars,  Acta Math. Sci. 30B (6)  (2010), 2077-2088.
[39] 邓引斌，李渺，高校本科生数学双语学习现状的调查研究， 数学教育学报，19（6）（2010） p42-44.
[40] (SCI) Yinbin Deng, Lingyu Jin and Shuanjie Peng, The Existence of Nontrivial Solutions for an Elliptic Equations Relating to the Caffarelli-Kohn-Nirenberg Inequalities, Communications in Contemporary Mathematics 11(2)  (2009), 1-14 
[41] (SCI) Yinbin Deng,  Yi Li and Fen Yang, A note on the positive solutions of an inhomogeneous elliptic Equation on  R^N.  J. Diff. Equations, 246 (2009), 670-680. 
[42] (SCI) Yinbin Deng and Qi Gao, The asymptotic behavior of the positive solutions for a semilinear elliptic equation with Hardy term,  Discrete and continuous Dynamical Systems - Series A 24（2）(2009)，367-380.
[43] （Sci） Yinbin Deng and Huirong Pi,  Multiple Solutions for $p$-Harmonic Type Equations. Nonlinear Analysis: Theory, Methods & Applications, 71（10）, (2009), 4952-4959 
[44] (SCI) Yinbin Deng and Jixiu Wang, Nonexistence of Radical Node Solutions   for Elliptic Problems with Critical Sobolev Exponents, Nonlinear Analysis: Theory, Methods & Applications, 71( 1-2), (2009), 172-178 
[45] (SCI) Yinbin Deng and Yi Li, Regularity  of the solutions for nonlinear biharmonic equations in R^N,  Acta Math. Sci. 29B(5) 2009 1469-1480.
[46] 金玲玉,邓引斌，无界域上带Hardy项和临界非线性项的半线性椭圆问题的全局紧性结果， 中国科学 A辑 39（7）（2009）840-854. 
[47] （SCI）Yinbin Deng and Fen Yang, Existence and Asymptotic Behavior of Positive Solutions for an Inhomogeneous Semilinear Elliptic Equation,  Nonlinear Analysis TMA., 68(2008) 246-272.  
[48] (Sci) Yinbin Deng and Fen Yang,  On the Stability of the Positive Radical Steady States for a Semilinear Cauchy Problem involving critical exponents,Acta Math. Sci. 28 B(2)  348-354 (2008) .
[49] （Sci） Yinbin Deng Yan Gao and Jianlin Xiang, Solutions of Euler-Poisson Equations in $R^n$,  Acta Math. Sci. 28 B(1), 24-42 (2008),.
[50] (SCI) Yinbin Deng, Yujing Guo and Yi Li, Existence and Decay Properties of Positive Solutions for an Inhomogeneous Semilinear Elliptic Equation. Proceedings of the Royal Society of Edinburgh, 138A  301-322 (2008).
[51]. (SCI) Yinbin Deng, Li Wang, Solutions for a class of singular nonlinear boundary value problem involving critical exponent,  Acta Mathematicae Applicatae Sinica   24(3), 453-472 (2008)
[52]. (SCI) Yinbin Deng, Lingyu Jin and Shuanjie Peng, A Robin Boundary Problem with Hardy Potential and Critical Nonlinearities. Journal d'Analyse Mathematique. 104， 125-154， (2008).
[53] (SCI) Yinbin Deng and Lingyu Jin, Exponential Decay of the Solutions for Nonlinear Multiharmonic Equations, Nonli. Anal. TMA., 69, 1953-1965 , (2008). 
[54] (SCI) Yinbin Deng，Qi Gao and Lingyu Jin, On the Existence of Nontrivial Solutions for p- Harmonic Equations on Unbounded Domains. Nonli. Anal. TMA. 69(12), 4713-4731, (2008).
[55] (Sci) Yinbin Deng and Yujin Guo, Multiple Positive Solutions for an Inhomogeneous Semilinear Problem in Exterior Domains，Nonlinear Analysis， TMA. 66 (2007), 1388-1409. 
[56] (Sci) Yinbin Deng and Lingyu Jin, On Symmetric Solutions of a Singular Elliptic Equation with Critical Sobolev-Hardy Exponent，J. Math. Anal. Appl. 329 ( 2007), 603-616.  
[57] (SCI) Yinbin Deng, Qi Gao and  Dandan Zhang, Nodal Solutions for Laplace Equations with Critical Sobolev and Hardy Exponents on R^N, Discrete and continuous Dynamical Systems - Series A,19（1）（2007），211-233. 
[58] (Sci) Yinbin Deng and Lingyu Jin, Multiple Positive Solutions for a Quasilinear Nonhomogeneous Neumann Problems with Critical Hardy Exponents   Nonlinear Anal. TMA. 67(12) (2007)， 3261-3275. 
[59] (SCI) Yinbin Deng and Yi Li, Exponential decay of the solutions for nonlinear    biharmonic equations, Communications in Contemporary Mathematic,9(5) 753-768（2007）
[60] (Sci) Yinbin Deng and Tong Yang, Multiplicity of  Stationary Solutions to the Euler-Poisson Equations, J. Diff. Equations, 231（2006）, 252-289. 
[61] (Sci) Yinbin Deng, Yi Li and Fen Yang , On the Stability of the Positive Steady States for a Nonhomogeneous Semilinear Cauchy Problem,  J. Diff. Equations.  Vol 228 (2006), 507-529.
[62] (Sci) Yinbin Deng and Yi Li, Branches of  solutions to semilinear biharmonic equations on R^{N},  Proceedings of the Royal Society of Edinburgh, Vol 136 (3), (2006) 733-758. 
[63] (Sci) Dongsheng Kang and Yinbin Deng, Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev Hardy exponents, Nonlinear analysis TMA  60 (2005), 729-753.
[64] (Sci)  Yinbin Deng,  Y. M. Ma and Xuejing Zhao, Existence and Properties of Positive Solutions for Semilinear Equations with Critical Exponent in RN,  Rocky Mountain Mathematics Journal of Mathematics, 35(5) , (2005). 1479—1512
[65] Yisheng Lai, Yuanguo Zhu and Yinbin Deng, Fixed point index approach for solutions of variational inequalities. International Journal of Matiematics and Mathematical Sciences, 2005(12), (2005) 1879-1887. 
[66] 朱长江，邓引斌， 《偏微分方程讲义》， 科学出版社， （2005）
[67] 邓引斌，高琦, 非齐次p-调和方程。华中师范大学学报自然科学版 （2005）
[68] (Sci) Deng Yinbin, Yi Li, Yi Liu, On the stability of the positive radial steady states for a semilinear Cauchy problem, Nonlinear Analysis, 54(2003), 291-318.
[69] (SciE) Deng Yinbin, Li Yi, Zhao Xunjin, Multiple solutions for an inhomogeneous semilinear elliptic equation in R N，Acta Math. Sci., Ser. B, 23(1)(2003), 1-15.
[70] Kang Dongsheng, Deng Yinbin, Sobolev-Hardy inequalities and some critical biharmonic problems. (Chinese),  Acta Math. Sci., Ser. A, 23(1)(2003), 106-114.
[71] (Sci) Yinbin Deng，Zhenhua Guo and Gengsheng Wang， Nodal solutions for p-Laplace equations with critical growth，Nonlinear Analysis TMA 54（2003）1121-1151。
[72] (Sci) Dongsheng Kang and Yinbin Deng，Existence of solution for a singular critical elliptic equation，J. Math. Anal. Applications, 284 (2003) 724-732.
[73] (SciE) Yinbin Deng and Yujing Guo, Uniqueness of Stationary Solutions with Vacuum of Euler-Poisson Equations, Acta Math. Sci., Ser. B, 23(3) (2003).
[74] (Sci) Yinbin Deng, Xiang Jianlin and Tong Yang, Blowup phenomena of the solutions to Euler-Poisson equations, J. Math. Anal. Appl. 286 (2003)295-306.
[75] (SciE) Yisheng Lai, Yuanguo Zhu and Yinbin Deng, The Existence of nonzero solutions for a class of Variational Inequalities by index, Applied Mathematics Letters , 16 (2003), 839-845.
[76] 邓引斌， 金玲玉，双调和算子的基本解， 华中师范大学学报， 37（3）， （2003）273-276.
[77] Deng Yinbin, 超临界增长的半线性椭圆型边值问题无穷多解的存在性和波节性质，华中师范大学学报，1 (1989).	
[78] Deng Yinbin, 临界增长的半线性椭圆型边值问题的无穷多解的存在性和波节性质, 华中师范大学学报，1 (1989).			
[79] (SciE) Deng Yinbin, The existence and nodal character of the solutions in R^N for semilinear elliptic equation involving critical Sobolev exponent, Acta Mathematica Sciencia, 9 (4) (1989)，385-402.
[80] Deng Yinbin, Existence and the nodal property of infinitely many solutions to singular quasilinear boundary value problems，华中师范大学学报，23 (4)(1989)，483-488( Chinese).
[81] Deng Yinbin, Uniqueness of k-node solutions to a class of semilinear elliptic boundary value problems, 华中师范大学学报, 24 (2) (1990), 131-138 ( in Chinese).
[82] Deng Yinbin, 王光发, Uniqueness of k-node solutions to a class of nonlinear boundary value problems, 数学杂志, 10 (4) (1990), 451-458.
[83] (SciE) D. M. Cao, Deng Yinbin, On the existence and nodal character of solutions of singular nonlinear boundary value problems, Acta Mathematica Scientia, 10(4) (1990), 471-478.	
[84] (Sci) Deng Yinbin, On the superlinear Ambrosetti-Prodi problem involving critical Sobolev exponents, Nonlinear Analysis, TMA, 17(12) (1991), 1111-1124.	
[85] 王光发，Deng Yinbin, Uniquness of nonnegative solutions to singular nonlinear boundary value problems, 华中师范大学学报, 25 (3) (1991), 261-266.	
[86] (Sci) Deng Yinbin, H. S. Zhou, X. P. Zhu, On the existence and Lp(RN) bifurcation for the semilinear elliptic equation,  Journal of Mathematical Analysis and Application, 154(1)(1991), 116-133.
[87] (SciE) Daoming. Cao, Deng Yinbin, On the existence and nodal character of the solutions of singular nonlinear boundary value problems, Acta Mathematica Scientia, 11 (4) (1991), 443-461.
[88] Huansong Zhou, Deng Yinbin, The Lp bifurcation problem for semlinear elliptic equations in striplike domains, 华中师范大学学报，25 (1)(1991), 1-7(in Chinese).	
[89] 周焕松, Deng Yinbin, 带形区域上半线性椭圆方程的Lp分歧问题, 华中师范大学学报, 25(1) (1991).	
[90] (Sci) Deng Yinbin, Existence and multiple positive solutions for a semilinear equation with critical exponent, Proceedings of the Royal Society of Edinburgh Series A, 122 (1-2) (1992),161-175.
[91] (Sci) Deng Yinbin, Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems involving critical exponents, Communication in Partial Differential Equations, 17(1-2)(1992), 33-53.		
[92] Deng Yinbin, Uniqueness of k-node solutions to a class of semilinear elliptic equations in Rn, 数学物理学报, 12 (2)(1992), 140-149 (in Chinese).
[93] Deng Yinbin, Existence of multiple positive solutions for △ u = λ u + u+ μf(x), Acta Mathematica Scientia, 9 (3) (1993), 311-320.		
[94] Deng Yinbin, 周昌裕, First eigenvalue of elliptic operators, 华中师范大学学报, 27(3) (1993), 280-284 ( in Chinese).	
[95] Deng Yinbin, D. M. Cao, Uniqueness of the positive solution for singular nonlinear boundary value problems, System Science and Mathematical Science, 6(1)(1993), 25-31.	
[96] (SciE) Deng Yinbin,	X.J. Wang, S. P. Wu , Neumann problems of semilinear elliptic equations with limit nonlinearity in boundary condition, Chinese Annals Math. SeriesB, 15(3)(1994).
[97] Y. G. Gu, Deng Yinbin, X. J. Wang, Existence of nontrivial solutions for critical semilinear biharmonic equations, System Science and Mathematical Science, 7 (2) (1994), 140-152.	
[98] Deng Yinbin, J. F. Yang, Existence of multiple solutions and bifurcation for critical semilinear biharmonic equations, Systems Science and Mathematical Sciences, 8(4)(1995), 319-326.	
[99] (Sci) X. J. Wang, Deng Yinbin, Existence of multiple solutions for nonlinear elliptic equations of nondivergence form, Journal of Mathematical Analysis and Application, 189(1995), 617-630.
[100] (Sci) Deng Yinbin, and J. F. Yang, Existence of multiple solutions and nonlinear elliptic equations of nondivergence form, Journal of Mathematical Analysis and Applications,8(4)(1995), 319-326.
[101] (Ei) Deng Yinbin, The estimates of eigenvalues for Laplace operator,Lecture Notes in Pure and Applied Mathematics, 178(1996), 15-20.
[102] (Sci) Deng Yinbin, Y. Li, Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent, Journal of Differential Equations, 130(1)(1996), 179-200.
[103] Deng Yinbin, Y. Li, Existence of multiple positive solutions for a semilinear elliptic equation, Advance in Differential Equations, 2(3) (1997), 361-382.
[104] Y. D. Peng, Deng Yinbin, The existence of nontrival solutions of critical semilinear equations, Acta Mathematica Scientia, 17(4)(1997), 452-4659 (in Chinese).		
[105] 郭真华, Deng Yinbin, -△u+u=Q(|x|)|u|p-1u的径向解结构, 华中师范大学学报, 31(3)(1997).
[106] Deng Yinbin, Wang Gengsheng, Optimal control problems some semilinear elliptic differential equations involving Sobolev critial exponent, Analele Stiintifice: Universitatea Ovidius Constanta, 6(1) (1998), 43-60.		
[107] Deng Yinbin, Wang Gengsheng, Necessary conditions for optimal control problems governed by some nonlinear parabolic differential equations, Pan American Mathematical Journal, 8(4)(1998), 67-80.
[108] Ma Yaming, Peng, S.J., Deng Yinbin, Existence of multiple positive solutions of critical semilinear elliptic problems in RN, 华中师范大学学报, 32(1)(1998), 1-6.		
[109] Zeng, X.Z., Deng Yinbin, Peng S.J., A barrier theorem for a biharmonic problem and its application, 华中师范大学学报, 32(4)(1998), 389-393 (Chinese).
[110] (Sci) Deng Yinbin, Wang Gengsheng, Optimal control of some semilinear elliptic equations with critical exponent, Nonlinear Analysis,TMA , 36 (7) (1999),  915-922.
[111] (Sci) Deng Yinbin, Wang Gengsheng, On inhomogeneous bihomonic equations involving critical exponents, Proceedings of the Royal Society of Edinburgh, Sect A, 129 (5) (1999), 925-946.
[112] Ma Yaming, Deng Yinbin, Properties of solutions for a semilinear equation with critical exponent in RN, 华中师范大学学报,	33(1)(1999), 16-19.	
[113] (EI) Yi Liu, Yi Li, Deng Yinbin, Stability of a Semilinear Cauchy Problem, Proceeding of Nonlinear Partial Differential Equations. Wold Scientific Publishing, Edited by Hua Chen, 1999.
[114] 郭真华, Deng Yinbin, △^2u=u+u+uf(x)的多解存在性, 数学物理学报, 19(2)(1999), 138-148.
[115] (Sci) Yi Liu, Yi Li, Deng Yinbin, Separation property of solutions for a semilinear elliptic equation, Journal of Differential Equations, 163(2)(2000), 381-406.
[116] (Ei) Deng Yinbin, Yi Li, Xuejin Zhao, Multiple solutions and bifurcation of nonhomogeneous semilinear elliptic equations in R^N, Progress in Nonlinear Analysis(Tianjin,1999), 81-102 NanKai Ser. Pure Appl. Math.Theoret. Phys. 6, World Sci. Publishing, River Edge, NJ, 2000.
[117] Zeng Xianzhong, Deng Yinbin, Existence of multiple solutions for a semilinear biharmonic equation with critical exponent (Chinese), Acta Mathemaica Scientia, 20(4)(2000), 547-554.
[118] (SciE) Deng Yinbin,The opial inequality in R^N, Acta Mathematica Scientia Series B, 21(4)(2001),572-576.
[119] (Sci) Deng Yinbin, Peng S. J.,Existence of multiple positive solutions for inhomogeneous Neumann problem, Journal of Mathematical Analysis and Applications, 271(1)(2002), 155-174.	
[120] (Sci) Deng Yinbin, Li Yi, On the existence of multiple positive solutions for a semilinear problem in exterior domains, Journal of Differential Equations, 181(1)(2002), 197-229.
[121] (Sci) Deng Yinbin, Taiping Liu, Tong Yang, Solutions of Euler-Poisson equations for Gaseous stars, Archive for Rational Mechanics Analysis, 164 (3) (2002), 261-285.
[122] Kang Dongsheng, Zhao Zhanping, Deng Yinbin, 含临界指标的非齐次椭圆方程的解的存在性，华中师范大学学报，36 (2) (2002)，133-137.
[123] Kang Dongsheng, Deng Yinbin，Existence of solutions for an elliptic equation with singular coefficients，应用数学，15(3)(2002), 8-12 ( in Chinese).

研究项目

1） 科技部重点研发项目: 椭圆方程解的量化分析:集中解及格林函数的性态研究，总经费585万(65万/人，含间接经费15万)，编号：2023YFA1010002，2023年12月-2028年11月，参与。
2）国家自然科学基金面上项目：关于Brezis-Nirenberg型问题的进一步研究，直接经费45万元,编号: 12271196，2023年元月-2026年12月，主持人。
3）国家自然科学基金数学天元基金天元数学访学项目：非线性薛定谔-泊松方程组正解的存在性及性态研究，直接经费20万， 编号:12226302，2023年元月-12月，主持人。
4）国家自然科学基金数学天元基金天元数学访学项目：带非局部项的薛定谔方程组正解的存在性及其性态研究，直接经费20万， 编号：11926320，2020年元月-12月，主持人。
5）国家自然科学基金重点项目：数学物理中的非线性椭圆型方程研究，子课题直接经费104万（总经费260万），（编号：11931012），2020年1月-2024年12月，子课题主持人。
6）国家自然科学基金天元基金：天元数学交流项目--混合型偏微分方程暨相关领域的前沿问题，直接经费30万，（编号：11826016），2018年6月-2018年12月，项目主持人。
7）国家自然科学基金面上项目：拟线性椭圆方程的多解及其性态，直接经费48万元（编号：11771170），2018年元月-2021年12月，项目主持人。
8）国家自然科学基金海外学者合作研究延续项目：非线性椭圆问题波峰解的存在性与局部唯一性；180万（直接经费），（编号：11629101），2017年1月-2020年12月。
9）国家自然科学基金天元基金项目：非线性分析国际会议暨第十九届全国非线性泛函分析会议；10万（直接经费），（编号：11626009 ），2016年5月-2016年12月。
10）国家自然科学基金天元基金项目：第十三届偏微分方程暑期讲习班暨学术会议，17万（编号：11526014），2015年5月-2015年12月。
11）国家自然科学基金国际合作项目：偏微分方程与变分方法国际会议，3万元（编号11410301017），2014-5-21 到 2014-8-26，项目负责人
12）国家自然科学基金面上项目：含临界指标的非线性椭圆问题的临界维现象，60万元（编号：11371160），2014年元月-2017年12月，项目主持人。
13）国家自然科学基金海外学者合作研究项目：缺乏紧性的非线性椭圆问题的多解及其性态研究， 20万，（编号： 11328101）2014年1月-2015年12月，主要参加者。
14）国家自然科学基金国际合作项目： 2012年5月， 2万元
λ	国家自然科学基金面上项目：几类非线性椭圆问题的多解及其性态研究，27万元人民币（编号：11071094）2011年元月—2013年12月
15）国家自然科学基金国际合作项目：非线性椭圆与抛物型方程研究的最新进展，2.5万人民币，（编号：11010301052） 2010年。
16）国家双语教学示范课建设项目，2009年，10万元人民币。
17）国家自然科学基金重点项目：非线性椭圆与抛物方程的理论及其应用研究130万元人民币（编号：10631030）2007年元月—2010年12月
18）高等学校博士学科点专项研究基金：非线性偏微分方程基本理论及其应用的研究，（编号：20060511001），2007、1—2009、12，（5万元人民币）。 
19）国家自然科学基金国际合作项目：全空间中半线性椭圆方程的多解，1万人民币， 2006年。  
20）国家自然科学基金天元基金项目：非线性PDE系列讲座， 8万元人民币
（编号 A0524609）2005年元月—12月。
21）国家自然科学基金项目面上项目：非线性椭圆问题与双调和问题的多解及其性态，20万元人民币（编号10471052） 2005-2007年，(项目主持人)
22）国家自然科学基金国际合作项目，半线性椭圆问题的正解的唯一性， 1.5万元人民币 （编号10410401146） 2004年，(项目主持人)
23）科技部重大基础研究前期研究专项，“非线性偏微分方程的若干问题”, 2002-2004
（总经费80万元， 共8人）（到学校经费6万元）
24）国家自然科学基金国际合作项目，“临界指标与临界维” (编号：10211091), 1万元人民币，2002年1月-2002年12月, (项目主持人)。
25）国家自然科学基金面上项目，“临界增长的非线性椭圆问题的多解与临界维” (编号：10171036), 15万元人民币, 2002年1月-2004年12月, (项目主持人)。
26）国家教育部优秀年轻教师基金项目, “RN中半线性椭圆问题的多解及其性态”(批号：教人司[2001]39号),  2001年1月-2001年12月，6万元（项目主持人）。
27）国家教育部骨干教师项目，“偏微分方程与最优控制”(编号：JJ-110-10511-1001), 12万元人民币，2000年1月-2002年1月，（项目主持人）。 
28）国家自然科学基金面上项目，“无界域上一类半线性椭圆问题的多解及其分支”（编号：19671034）, 6万元人民币，1997年1月-1999年12月, （项目主持人）。
29）国家教育部优秀年轻教师基金项目，“RN中半线性椭圆问题的多解及其性态”(批号：教人司[1996]486号),  5万元人民币，1997年1月-1999年12月,（项目主持人）。
30）国家教委优秀中青年出国留学项目，“半线性椭圆问题的波节解”, 5,000美元， 1994年8月-1995年8月，（项目主持人）。
31）国家自然科学基金青年基金项目，“临界增长的双调和方程” (编号：19201009), 1.3万元人民币，1993年元月-1995年12月,（项目主持人）。

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