Entropy solutions for a doubly nonlinear elliptic problem with variable exponent
type: Item
instance of: scholarly article
title: Entropy solutions for a doubly nonlinear elliptic problem with variable exponent
zbMATH Open document ID: 1200.35109
author: Bernard Kaka Bonzi
author: Stanislas Ouaro
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-07-20T00:00:00Z
review text: The nonlinear boundary value problem with a \(p(x)\)-Laplace type operator under Dirichlet boundary condition is studied. The condition of regularity is relaxed on the variable exponent \(p(\cdot)\) and on the function \(b\) appearing in the governing equation. Although the existence and uniqueness of weak energy solution presented in Section 3 is trivial, an attempt has been made to develop the existence and uniqueness of the entropy solution of the problem.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5757963
zbMATH Keywords: generalized Lebesgue-Sobolev spaces
zbMATH Keywords: weak energy solution
zbMATH Keywords: entropy production
zbMATH Keywords: \(p(x)\)-Laplace operator
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.05.022
OpenAlex ID: W2074752809
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DOI: 10.1016/J.JMAA.2010.05.022
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description: scientific article; zbMATH DE number 5757963