Abstract and Applied Analysis

Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms

Guanwei Chen and Shiwang Ma

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 349304, 8 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606024

Digital Object Identifier
doi:10.1155/2014/349304

Mathematical Reviews number (MathSciNet)
MR3224309

Zentralblatt MATH identifier
1288.35234

Citation

Chen, Guanwei; Ma, Shiwang. Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 349304, 8 pages. doi:10.1155/2014/349304. https://projecteuclid.org/euclid.aaa/1412606024


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