非线性分析

2009.09-2013.01，兰州大学数学院，博士，非线性分析，之后留校工作至今； 

1.Duchao Liu, Jinghua Yao, A class of De Giorgi type and local boundedness, accepted by Topological Methods in Nonlinear Analysis, 2018.
2.Jiayin Liu, Duchao Liu, Multiple soliton solutions for a quasilinear Schrodinger equation, Indian J. Pure Appl. Math., 48(1), 75-90, 2017.
3.Duchao Liu, Beibei Wang, Peihao Zhao, On the trace regularity results of Musielak-Orlicz-Sobolev spaces, Communications on Pure and Applied Analysis, 15(5), 1643-1659, 2016.
4.Duchao Liu, Peihao Zhao, Solutions for an elliptic equation in Musielak-Orlicz-Sobolev spaces, Nonlinear Analysis RWA, 26, 315-329, 2015.
5.Duchao Liu, Peihao Zhao, Soliton solutions for a quasilinear Schrodinger equation via Morse Theory, Proc. Indian Acad. Sci. (Math. Sci.), 125 (3), 307-321, 2015.
6.Xiaoyan Wang, Jinghua Yao, Duchao Liu, High energy solutions to p(x)-Laplacian equations of Schrodinger type, Electronic Journal of Differential Equations, 2015 No. 136, 1-17, 2015.

国家自然科学基金青年基金（NSFC 11501268: 2015.01-2018.12）Musielak-Orlicz-Sobolev 空间中的迹嵌入定理及其应用。