Existence and multiplicity of solutions for a class of superlinear elliptic systems-Reference-Cited by-同舟云学术

Existence and multiplicity of solutions for a class of superlinear elliptic systems

Published:2018-05-01 Issue:2 Volume:7 Page:183-196
ISSN:2191-9496
Container-title:Advances in Nonlinear Analysis
language:
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Author:

Li Chun¹,Agarwal Ravi P.²,Wu Dong-Lun³

Affiliation:

1. School of Mathematics and Statistics, Southwest University, Chongqing400715, P. R. China

2. Department of Mathematics, Texas A&M University, Kingsville, TX 78363, USA

3. College of Science, Southwest Petroleum University, Chengdu, Sichuan610500, P. R. China

Abstract

AbstractIn this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anona/7/2/article-p183.xml

Reference64 articles.

1. Positive solutions of semilinear elliptic systems;Comm. Partial Differential Equations,1992

2. Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials;J. Amer. Math. Soc.,1991

3. On the Bolza problem;J. Differential Equations,1999

4. Infinitely many solutions for symmetric and non-symmetric elliptic systems;J. Math. Anal. Appl.,2010

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