Multiple symmetric results for quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in \(\mathbb{R}^N\)
type: Item
instance of: scholarly article
title: Multiple symmetric results for quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in \(\mathbb{R}^N\)
zbMATH Open document ID: 1472.35183
DOI: 10.1155/2014/430976
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper deals with a class of quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in \(\mathbb{R}^N\). By using the symmetric criticality principle of Palais and variational methods, we prove several existence and multiplicity results of \(G\)-symmetric solutions under certain appropriate hypotheses on the potentials and parameters.
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7022380
zbMATH Keywords: quasilinear elliptic systems
zbMATH Keywords: singular potentials
zbMATH Keywords: critical exponents
zbMATH Keywords: existence
zbMATH Keywords: variational methods
author: Zhiying Deng
author: Yisheng Huang
Wikidata QID: Q59038082
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/430976
OpenAlex ID: W2100324786
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description: scientific article; zbMATH DE number 7022380