Superlinear gradient system with a parameter

Boundary value problems

Anran Li¹  Jiabao Su² 

[1] School of Mathematical Sciences, Capital Normal University, Beijing, People’s Republic of China

关键词: gradient system;    superlinear;    critical group;    Morse theory;    linking;   

DOI  :  10.1186/1687-2770-2012-110

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the multiplicity of nontrivial solutions for a superlinear gradient system with saddle structure at the origin. We make use of a combination of bifurcation theory, topological linking and Morse theory. MSC:35J10, 35J65, 58E05.

【 授权许可】

CC BY