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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

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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