Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms
type: Item
instance of: scholarly article
title: Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms
zbMATH Open document ID: 1472.35147
DOI: 10.1155/2014/349304
author: Shiwang Ma
author: Guanwei Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7022201
zbMATH Keywords: second-order elliptic systems
zbMATH Keywords: existence
zbMATH Keywords: variational methods
Wikidata QID: Q59036364
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/349304
OpenAlex ID: W2133335460
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description: scientific article; zbMATH DE number 7022201