Academic area: Partial Differential Equations

Research Interests: Elliptic PDEs

Academic Degrees

PhD. ，2007, Department of Mathematics, Rutgers, The State University of New Jersey, USA;

Master, 2000, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China;

Bachelor, 1997, School of Mathematics, Peking University, Beijing, China.

Professional Experience

Lecturer (20012-present); School of Mathematics and Statistics, Huazhong University of Science and Technology;

Postdoc (2010-2012); Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China;

Postdoc Fellowship (2007-2010); School of Mathematics, University of Connecticut, USA.

Selected Publications

• 1. Haoyuan Xu (with Yanyan Li and Juncheng Wei), Multi-bump solutions of $\Delta u=K(x)u^{\frac{n+2}{n-2}}$ on lattices in $R^n$. To appear in Journal fur die reine und angewandte Mathematik.

• 2. Haoyuan Xu (with Zhenghui Zhang), Existence of multi-peak solutions for p-Laplace problems in $R^N$. Acta Math. Appl. Sin. 31 (4) (2015) 1061-1072.

• 3. Haoyuan Xu (with Changfeng Gui and Andrea Malchiodi), Axial symmetry of some steady state solutions to nonlinear Schrödinger equations. Proc. Amer. Math. Soc. 139 (2011) 1023-1032.

• 4. Haoyuan Xu (with Qinian Jin and Yanyan Li), Symmetry and Asymmetry: The method of moving spheres. Andvances in Differential Equations 13 (2008), 601-640.

• 5. Haoyuan Xu (with Qinian Jin and Yanyan Li), Nonexistence of positive solutions for some fully nonlinear elliptic equations. Methods and Applications of Analysis, Vol. 12 (2005), No. 4, 441—450.  

Courses Taught

Calculus

Linear Algebra

One variable Analysis

Multi-Variable Analysis

Equations and Special Functions of Mathematical Physics