Multiple solutions of semilinear elliptic systems on the Heisenberg group

Boundary value problems

Long-jie Zhang¹  Jie Chen¹  Gao Jia¹ 

[1] College of Science, University of Shanghai for Science and Technology, Shanghai, China

关键词: semilinear elliptic system;    strong resonance;    variational method;    Heisenberg group;   

DOI  :  10.1186/1687-2770-2013-157

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a class of semilinear elliptic systems which have a strong resonance at the first eigenvalue on the Heisenberg group is considered. Under certain assumptions, by virtue of the variational methods, the multiple weak solutions of the systems are obtained. MSC:35J20, 35J25, 65J67.

【 授权许可】

CC BY