On an existence result for a class of \((p,q)\)-gradient elliptic systems via a fibering method
type: Item
instance of: scholarly article
title: On an existence result for a class of \((p,q)\)-gradient elliptic systems via a fibering method
zbMATH Open document ID: 1259.35080
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-09-06T00:00:00Z
review text: By using the fibering method introduced by Pohozaev, the author proves the existence of multiple solutions for a Dirichlet problem associated to a quasilinear system involving a pair of \((p,q)\)-Laplacian operators and functions derived from a potential with bounded coefficients and of changing sign.
reviewed by: Mohammed Bouchekif
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J35
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 6078518
zbMATH Keywords: fibering method
zbMATH Keywords: gradient elliptic system
zbMATH Keywords: \((p,q)\)-system
zbMATH Keywords: conditional critical point
zbMATH Keywords: critical point
zbMATH Keywords: multiplicity
author: J. Velin
MaRDI profile type: Publication
full work available at URL: j.na.2012.06.007
OpenAlex ID: W1969846636
cites work: Existence and Uniquenss of Positive Solutions for Certain Quasilinear Elliptic Systems
cites work: A CRITERION FOR EXISTENCE OF A POSITIVE SOLUTION OF A NONLINEAR ELLIPTIC SYSTEM
cites work: Q4231098
cites work: Positive solutions for the p-Laplacian: application of the fibrering method
cites work: Q5409072
cites work: Nehari manifold and existence of positive solutions to a class of quasilinear problems
cites work: Multiple solutions with changing sign energy to a nonlinear elliptic equation
cites work: Compactness and quasilinear problems with critical exponents.
cites work: The Nehari manifold for systems of nonlinear elliptic equations
cites work: Q5395533
DOI: 10.1016/J.NA.2012.06.007
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description: scientific article; zbMATH DE number 6078518