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: | 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 |
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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 |