Multiplicity of solutions for differential inclusion problems in \({\mathbb{R}^N}\) involving the \(p(x)\)-Laplacian
type: Item
instance of: scholarly article
title: Multiplicity of solutions for differential inclusion problems in \({\mathbb{R}^N}\) involving the \(p(x)\)-Laplacian
zbMATH Open document ID: 1276.35094
author: Bin Ge
author: Qingmei Zhou
author: Xiaoping Xue
published in: Monatshefte für Mathematik
publication date: 2012-11-29T00:00:00Z
review text: The authors study a differential inclusion involving \(p(x)\)-Laplacian and the multivalued operator obtained by the Clarke subdifferential. Using the Weierstrass theorem and the mountain pass theorem, two nontrivial solutions are obtained.
reviewed by: Leszek Gasiński
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35R70
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6111287
zbMATH Keywords: Clarke subdifferential
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: differential inclusion problem
zbMATH Keywords: locally Lipschitz function
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: s00605-011-0342-0
OpenAlex ID: W1972810198
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DOI: 10.1007/S00605-011-0342-0
description: scientific article; zbMATH DE number 6111287