Solutions to p(x)-Laplace type equations via nonvariational techniques

Solutions to p(x)-Laplace type equations via nonvariational techniques

In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone operator theory and approximation method. Under some...

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Main Author: Mustafa Avci
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Leray-Lions type operator
nonlinear monotone operator
approximation
variable Lebesgue spaces
Online Access:http://www.opuscula.agh.edu.pl/vol38/3/art/opuscula_math_3813.pdf
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spelling doaj-a2d9c8ddc4f4429db79205bc38f368802020-11-24T22:42:26ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742018-01-01383291305https://doi.org/10.7494/OpMath.2018.38.3.2913813Solutions to p(x)-Laplace type equations via nonvariational techniquesMustafa Avci0Faculty of Economics and Administrative Sciences, Batman University, TurkeyIn this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone operator theory and approximation method. Under some natural conditions, we show that a weak limit of approximate solutions is a solution of the given quasilinear elliptic partial differential equation involving variable exponent.http://www.opuscula.agh.edu.pl/vol38/3/art/opuscula_math_3813.pdfLeray-Lions type operatornonlinear monotone operatorapproximationvariable Lebesgue spaces
collection DOAJ
language English
format Article
sources DOAJ
author Mustafa Avci
spellingShingle Mustafa Avci
Solutions to p(x)-Laplace type equations via nonvariational techniques
Opuscula Mathematica
Leray-Lions type operator
nonlinear monotone operator
approximation
variable Lebesgue spaces
author_facet Mustafa Avci
author_sort Mustafa Avci
title Solutions to p(x)-Laplace type equations via nonvariational techniques
title_short Solutions to p(x)-Laplace type equations via nonvariational techniques
title_full Solutions to p(x)-Laplace type equations via nonvariational techniques
title_fullStr Solutions to p(x)-Laplace type equations via nonvariational techniques
title_full_unstemmed Solutions to p(x)-Laplace type equations via nonvariational techniques
title_sort solutions to p(x)-laplace type equations via nonvariational techniques
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2018-01-01
description In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone operator theory and approximation method. Under some natural conditions, we show that a weak limit of approximate solutions is a solution of the given quasilinear elliptic partial differential equation involving variable exponent.
topic Leray-Lions type operator
nonlinear monotone operator
approximation
variable Lebesgue spaces
url http://www.opuscula.agh.edu.pl/vol38/3/art/opuscula_math_3813.pdf
work_keys_str_mv AT mustafaavci solutionstopxlaplacetypeequationsvianonvariationaltechniques
_version_ 1725700020305395712

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