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Bull. Korean Math. Soc. 2014; 51(3): 789-801

Printed May 31, 2014

https://doi.org/10.4134/BKMS.2014.51.3.789

Copyright © The Korean Mathematical Society.

Ground state solutions of non-resonant cooperative elliptic systems with superlinear terms

Guanwei Chen

Anyang Normal University

Abstract

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In this paper, we study the existence of ground state solutions for a class of non-resonant cooperative elliptic systems by a variant weak linking theorem. Here the classical Ambrosetti-Rabinowitz superquadratic condition is replaced by a general super quadratic condition.

Keywords: non-resonant cooperative elliptic systems, ground state solutions, superlinear, variant weak linking theorem

MSC numbers: 35J20, 35J55, 35J65

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