The effects of concave and convex nonlinearities in some noncooperative elliptic systems
type: Item
instance of: scholarly article
title: The effects of concave and convex nonlinearities in some noncooperative elliptic systems
zbMATH Open document ID: 1311.35105
author: F. Colin
author: Cyril Joel Batkam
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2014-12-03T00:00:00Z
review text: This paper concerns the semilinear elliptic systems with nonlinearities containing both concave and convex terms, and with the energy functionals being strongly indefinite. The authors derive theorems of existence of infinitely many critical values for strongly indefinite even functionals. Applying these theorems to the elliptic systems, the authors prove the existence of infinitely many large and small energy solutions.
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 6376691
zbMATH Keywords: concave-convex nonlinearity
zbMATH Keywords: semilinear elliptic system
zbMATH Keywords: critical point theorems
zbMATH Keywords: strongly indefinite functional
reviewed by: Xingbin Pan
MaRDI profile type: Publication
full work available at URL: s10231-013-0343-9
OpenAlex ID: W1987080504
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DOI: 10.1007/S10231-013-0343-9
description: scientific article; zbMATH DE number 6376691