Superlinear gradient system with a parameter
School of Mathematical Sciences, Capital Normal University, Beijing, 100048, People’s Republic of China
Boundary Value Problems 2012, 2012:110 doi:10.1186/1687-2770-2012-110Published: 9 October 2012
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.