SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Open Badges Research

Superlinear gradient system with a parameter

Anran Li* and Jiabao Su

Author affiliations

School of Mathematical Sciences, Capital Normal University, Beijing, 100048, People’s Republic of China

For all author emails, please log on.

Citation and License

Boundary Value Problems 2012, 2012:110  doi:10.1186/1687-2770-2012-110

Published: 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.

gradient system; superlinear; critical group; Morse theory; linking