A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions
type: Item
instance of: scholarly article
title: A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions
zbMATH Open document ID: 1467.35136
author: Piero Montecchiari
author: Paul H. Rabinowitz
published in: Calculus of Variations and Partial Differential Equations
publication date: 2021-06-30T00:00:00Z
review text: This article discusses the system \(-\Delta u+L(x) u=F_u(x,u)\), \((x,u)\in \mathbb{R}^n\times \mathbb{R}^m\), where \(L\) is a \(m\times m\) matrix and \(F\geq 0\) satisfy some suitable conditions. Using variational methods the authors establish the existence of a broader class of multibump solutions.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 7365282
zbMATH Keywords: semilinear elliptic system
zbMATH Keywords: existence of multibump solutions
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: s00526-021-01987-7
OpenAlex ID: W3177304590
Wikidata QID: Q115386617
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DOI: 10.1007/S00526-021-01987-7
description: scientific article; zbMATH DE number 7365282