张健，男，1983年生，博士，讲师。2011年6月毕业于山东大学数学学院，获理学博士学位。2011年7月-2013年7月，清华大学数学科学系博士后。目前主要从事非线性分析、非线性偏微分方程等方面的研究工作。

联系方式

zjian@upc.edu.cn

主讲课程

本科生：高等数学、数学物理方法、计算方法、数学实验

研究生：泛函分析

主要项目

1.国家青年科学基金项目，11401583，非线性Klein-Gordon-Maxwell方程及其相关问题的研究,2015.01-2017.12，主持。

2.国家自然科学基金面上项目，11371212，与Bose-Einstein凝聚方程相关的非线性椭圆系统的研究，2014.01-2017.12，参与。

3.国家自然科学基金面上项目，10971046，非线性分析及在偏微分方程中的应用，2010.01-2012.12，参与。

4.国家青年科学基金项目，11501571，带概周期强迫项的Schrodinger方程和梁方程的概周期解,2016.01-2018.12，参与。

主要论文

1.Jian Zhang, Ground state and multiple solutions for Schrodinger-Poisson equations with critical nonlinearity, Journal of Mathematical Analysis and Applications, doi:10.1016/j.jmaa.2016.03.062, SCI.

2. Jian Zhang, The Kirchhoff type Schrodinger problem with critical growth, Nonlinear Analysis: Real World Applications, 2016, 28: 153-170, SCI.

3. Jian Zhang, The critical Neumann problem of Kirchhoff type, Applied Mathematics and Computation, 2016, 274: 519-530, SCI.

4. Jian Zhang, On ground state and nodal solutions of Schrodinger-Poisson equations with critical growth, Journal of Mathematical Analysis and Applications, 2015, 428: 387-404, SCI.

5. Jian Zhang, On the Schrodinger equations with a nonlinearity in the critical growth, Topological Methods in Nonlinear Analysis, 2014, 44: 457-469, SCI.

6. Jian Zhang, Wenming Zou, The Critical Case for a Berestycki-Lions Theorem, SCIENCE CHINA Mathematics, 2014, 57: 541-555, SCI.

7. Jian Zhang,  On ground state solutions for quasilinear elliptic equations with a general nonlinearity in the critical growth, Journal of Mathematical Analysis and Applications, 2013, 401: 232-241, SCI.

8. Jian Zhang, On the Schrodinger-Poisson equations with a general nonlinearity in the critical growth, Nonlinear Analysis: Theory, Methods

& Applications, 2012, 75: 6391-6401, SCI.

9. Jian Zhang, Zhongli Wei, Existence of multiple positive solutions to singular elliptic systems involving critical exponents, Nonlinear Analysis: Theory, Methods & Applications, 2012, 75: 559-573, SCI.

10. Jian Zhang, Zhongli Wei, Infinitely many nontrivial solutions for a class of biharmonic equations via variant fountain theorems, Nonlinear Analysis: Theory, Methods & Applications, 2011, 74: 7474-7485, SCI.

11. Jian Zhang, Zhongli Wei, Multiple solutions for a class of biharmonic equations with a nonlinearity concave at the origin, Journal of Mathematical Analysis and Applications, 2011, 383: 291-306, SCI.

奖励/荣誉

2014.12 青岛西海岸新区首批紧缺人才。