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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09217134_v93_n1-2_p161_Bonder |
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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 |