Ground state solutions of non-resonant cooperative elliptic systems with superlinear terms
Bull. Korean Math. Soc. 2014 Vol. 51, No. 3, 789-801
https://doi.org/10.4134/BKMS.2014.51.3.789
Published online May 31, 2014
Guanwei Chen
Anyang Normal University
Abstract : 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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