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Open Access Research

Multiple solutions of semilinear elliptic systems on the Heisenberg group

Gao Jia*, Long-jie Zhang and Jie Chen

Author Affiliations

College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

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Boundary Value Problems 2013, 2013:157  doi:10.1186/1687-2770-2013-157

Published: 1 July 2013

Abstract

In this paper, a class of semilinear elliptic systems which have a strong resonance at the first eigenvalue on the Heisenberg group is considered. Under certain assumptions, by virtue of the variational methods, the multiple weak solutions of the systems are obtained.

MSC: 35J20, 35J25, 65J67.

Keywords:
semilinear elliptic system; strong resonance; variational method; Heisenberg group