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Gradient systems with sublinear term near the origin and asymptotically linear term near infinity

Hongrui Cai* 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 2013, 2013:280  doi:10.1186/1687-2770-2013-280

Published: 30 December 2013


In this paper we study the existence of nontrivial solutions for a sublinear gradient system with a nontrivial critical group at infinity.

MSC: 35J10, 35J65, 58E05.

gradient system; sublinear; critical group; Morse theory