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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bonder, J.F., Saintier, N., Silva, A.
Formato: JOUR
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: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 todo:paper_09217134_v93_n1-2_p161_Bonder
record_format dspace
spelling todo:paper_09217134_v93_n1-2_p161_Bonder2023-10-03T15:45:40Z Existence of solution to a critical trace equation with variable exponent Bonder, J.F. Saintier, N. Silva, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Bonder, J.F.
Saintier, N.
Silva, A.
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.
format JOUR
author Bonder, J.F.
Saintier, N.
Silva, A.
author_facet Bonder, J.F.
Saintier, N.
Silva, A.
author_sort Bonder, J.F.
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
url http://hdl.handle.net/20.500.12110/paper_09217134_v93_n1-2_p161_Bonder
work_keys_str_mv AT bonderjf existenceofsolutiontoacriticaltraceequationwithvariableexponent
AT saintiern existenceofsolutiontoacriticaltraceequationwithvariableexponent
AT silvaa existenceofsolutiontoacriticaltraceequationwithvariableexponent
_version_ 1782024985408176128

Ejemplares similares