个 人 简 历

陈建华，男,博士，硕士研究生导师，国际差分方程学会会员、美国《Mathematics Reviews》评论员。 2018年毕业于中南大学数学专业，获理学博士学位，2018年7月进入到南昌大学数学系工作，2019年入选南昌大学“215人才工程”赣江青年学者。主要研究领域：非线性分析，包括临界点理论、不动点理论及其在微分方程与积分方程中的应用。研究成果主要发表在Front. Math. China、Asymptotic Anal.、Acta Math. Sci. Ser. B.、J. Math. Phys.、Topol. Meth. Nonlinear Anal.、 Commun. Pure Appl. Anal.、J. Fixed Point Theory Appl.、Math. Meth. Appl. Sci.、J. Comput. Appl.Math.等国际知名期刊上。同时担任J. Math. Phys.、 Adv. Nonlinear Anal.、 Discrete Contin. Dyn. Syst. Ser. B.、 Math. Meth. Appl. Sci.、 Complex Var. Elliptic Equ.、J. Comput. Appl.Math.、Comput. Math. Appl.、Appl. Math. Lett.等期刊审稿人。现主持国家自然科学基金项目1项和江西省自然科学基金项目1项。

联系方式:cjh19881129@163.com;

主持项目：

1、几类拟线性薛定谔方程解的存在性与动力学分析,国家自然科学基金，2020-01至2022-12,26万元, 在研, 主持

2、含Choquard非线性项的广义拟线性薛定谔方程解的存在性与动力学分析,江西省自然科学基金，2021-01至2023-12, 6万元, 在研, 主持

主要论文：

1、Chen Jianhua; Huang Xianjiu; Cheng Bitao; Combined effects of concave and convex nonlinearities for Kirchhoff type equations with steep potential well and 1<p<2<q<4, Frontiers of Mathematics in China, 2021, In press

2、Chen Jianhua; Huang Xianjiu; Qin Dongdong; Cheng Bitao; Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents, Asymptotic Analysis, 2020, 120: 199-248.

3、Chen Jianhua; Huang Xianjiu; Cheng Bitao; Tang Xianhua; Existence and concentration behavior of ground State solutions for a class of generalized quasilinear Schrödinger equations in RN, Acta Mathematica Scientia Series B. 2020, 40: 1495-1524.

4、Chen Jianhua; Huang Xianjiu; Cheng Bitao; Zhu Chuanxi; Some results on standing wave solutions for a class of quasilinear Schrӧdinger equations, Journal of Mathematical Physics, 2019, 60: 091506.

5、Chen Jianhua; Tang Xianhua; Cheng Bitao; Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearity, Communications on Pure and Applied Analysis, 2019, 18 : 493-517.

6、Chen Jianhua; Tang Xianhua; Cheng Bitao; Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrӧdinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent, Journal of Mathematical Physics, 2018, 59: 021505.

7、Chen Jianhua; Tang Xianhua; Cheng Bitao; Existence and concentration of ground state sign-changing solutions for Kirchhoff type equations with steep potential well and nonlinearity, Topological Methods in Nonlinear Analysis, 2018, 15:111-133.

8、Chen Jianhua; Tang Xianhua; Gao Zu; Cheng Bitao; Ground state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation, Journal of Fixed Point Theory and Applications, 2017, 19: 3127-3149.

9、Chen, Jianhua; Tang Xianhua; Gao Zu;Existence of ground state sign‐changing solutions for p‐Laplacian equations of Kirchhoff type, Mathematical Methods in the Applied Sciences, 2017, 40: 5056-5067.

10、Chen Jianhua; Tang Xianhua; Generalizations of Darbo’s fixed point theorem via simulation functions with application to functional integral equations, Journal of Computational and Applied Mathematics, 2016, 296: 564-575.