Existence of solution to a critical trace equation with variable exponent

In this paper we study sufficient local conditions for the existence of non-trivial solution to a critical equation for the p(x)-Laplacian where the critical term is placed as a source through the boundary of the domain. The proof relies on a suitable generalization of the concentration - compactnes...

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Autor principal:	Silva, Analia Concepcion
Publicado:	2015
Materias:	concentration compactness critical exponents Sobolev embedding variable exponents Asymptotic analysis Concentration-compactness principle Critical exponent Existence of Solutions Mountain pass theorem Nontrivial solution Variable exponent Sobolev space Variable exponents Sobolev spaces
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v93_n1-2_p161_Bonder http://hdl.handle.net/20.500.12110/paper_09217134_v93_n1-2_p161_Bonder
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_09217134_v93_n1-2_p161_Bonder
record_format	dspace
spelling	paper:paper_09217134_v93_n1-2_p161_Bonder2023-06-08T15:50:48Z Existence of solution to a critical trace equation with variable exponent Silva, Analia Concepcion concentration compactness critical exponents Sobolev embedding variable exponents Asymptotic analysis Concentration-compactness principle Critical exponent Existence of Solutions Mountain pass theorem Nontrivial solution Sobolev embedding Variable exponent Sobolev space Variable exponents Sobolev spaces In this paper we study sufficient local conditions for the existence of non-trivial solution to a critical equation for the p(x)-Laplacian where the critical term is placed as a source through the boundary of the domain. The proof relies on a suitable generalization of the concentration - compactness principle for the trace embedding for variable exponent Sobolev spaces and the classical mountain pass theorem. © 2015 - IOS Press and the authors. All rights reserved. Fil:Silva, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v93_n1-2_p161_Bonder http://hdl.handle.net/20.500.12110/paper_09217134_v93_n1-2_p161_Bonder
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	concentration compactness critical exponents Sobolev embedding variable exponents Asymptotic analysis Concentration-compactness principle Critical exponent Existence of Solutions Mountain pass theorem Nontrivial solution Sobolev embedding Variable exponent Sobolev space Variable exponents Sobolev spaces
spellingShingle	concentration compactness critical exponents Sobolev embedding variable exponents Asymptotic analysis Concentration-compactness principle Critical exponent Existence of Solutions Mountain pass theorem Nontrivial solution Sobolev embedding Variable exponent Sobolev space Variable exponents Sobolev spaces Silva, Analia Concepcion Existence of solution to a critical trace equation with variable exponent
topic_facet	concentration compactness critical exponents Sobolev embedding variable exponents Asymptotic analysis Concentration-compactness principle Critical exponent Existence of Solutions Mountain pass theorem Nontrivial solution Sobolev embedding Variable exponent Sobolev space Variable exponents Sobolev spaces
description	In this paper we study sufficient local conditions for the existence of non-trivial solution to a critical equation for the p(x)-Laplacian where the critical term is placed as a source through the boundary of the domain. The proof relies on a suitable generalization of the concentration - compactness principle for the trace embedding for variable exponent Sobolev spaces and the classical mountain pass theorem. © 2015 - IOS Press and the authors. All rights reserved.
author	Silva, Analia Concepcion
author_facet	Silva, Analia Concepcion
author_sort	Silva, Analia Concepcion
title	Existence of solution to a critical trace equation with variable exponent
title_short	Existence of solution to a critical trace equation with variable exponent
title_full	Existence of solution to a critical trace equation with variable exponent
title_fullStr	Existence of solution to a critical trace equation with variable exponent
title_full_unstemmed	Existence of solution to a critical trace equation with variable exponent
title_sort	existence of solution to a critical trace equation with variable exponent
publishDate	2015
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v93_n1-2_p161_Bonder http://hdl.handle.net/20.500.12110/paper_09217134_v93_n1-2_p161_Bonder
work_keys_str_mv	AT silvaanaliaconcepcion existenceofsolutiontoacriticaltraceequationwithvariableexponent
_version_	1768542322598871040

Existence of solution to a critical trace equation with variable exponent

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