On the existence of three solutions for quasilinear elliptic problem
type: Item
instance of: scholarly article
title: On the existence of three solutions for quasilinear elliptic problem
zbMATH Open document ID: 1248.35061
author: Paweł Goncerz
published in: Opuscula Mathematica
publication date: 2012-07-31T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 6062457
zbMATH Keywords: critical point
zbMATH Keywords: elliptic problem
zbMATH Keywords: minimax inequality
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: three critical points theorem
zbMATH Keywords: weak solution
MaRDI profile type: Publication
DOI: 10.7494/OPMATH.2012.32.3.473
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review text: This paper deals with a class of quasilinear elliptic problems with Dirichlet boundary condition. The main result establishes that if the two real parameters belong to some prescribed intervals then the problem admits at least three distinct weak solutions. The proof is standard and relies on a recent three critical points theorem of Ricceri.
reviewed by: Teodora-Liliana Rădulescu
description: scientific article; zbMATH DE number 6062457