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2014 Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms
Guanwei Chen, Shiwang Ma
Abstr. Appl. Anal. 2014(SI71): 1-8 (2014). DOI: 10.1155/2014/349304

Abstract

We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions. We obtain ground state solutions and infinitely many nontrivial solutions of this system by a generalized Nehari manifold method developed recently by Szulkin and Weth.

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Guanwei Chen. Shiwang Ma. "Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms." Abstr. Appl. Anal. 2014 (SI71) 1 - 8, 2014. https://doi.org/10.1155/2014/349304

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 1288.35234
MathSciNet: MR3224309
Digital Object Identifier: 10.1155/2014/349304

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI71 • 2014
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