Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Existence of solution to a critical trace equation with variable exponent |
Autor: | Bonder, J.F.; Saintier, N.; Silva, A. |
Filiación: | IMAS, CONICET, Universidad de Buenos Aires, Pabellón I (1428), Buenos Aires, Argentina Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina Instituto de Ciencias, Universidad Nacional de General Sarmiento, Buenos Aires, Argentina
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Palabras clave: | 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 |
Año: | 2015
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Volumen: | 93
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Número: | 1-2
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Página de inicio: | 161
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Página de fin: | 185
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DOI: |
http://dx.doi.org/10.3233/ASY-151289 |
Título revista: | Asymptotic Analysis
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Título revista abreviado: | Asymptotic Anal
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ISSN: | 09217134
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CODEN: | ASANE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v93_n1-2_p161_Bonder |
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Citas:
---------- APA ----------
Bonder, J.F., Saintier, N. & Silva, A.
(2015)
. Existence of solution to a critical trace equation with variable exponent. Asymptotic Analysis, 93(1-2), 161-185.
http://dx.doi.org/10.3233/ASY-151289---------- CHICAGO ----------
Bonder, J.F., Saintier, N., Silva, A.
"Existence of solution to a critical trace equation with variable exponent"
. Asymptotic Analysis 93, no. 1-2
(2015) : 161-185.
http://dx.doi.org/10.3233/ASY-151289---------- MLA ----------
Bonder, J.F., Saintier, N., Silva, A.
"Existence of solution to a critical trace equation with variable exponent"
. Asymptotic Analysis, vol. 93, no. 1-2, 2015, pp. 161-185.
http://dx.doi.org/10.3233/ASY-151289---------- VANCOUVER ----------
Bonder, J.F., Saintier, N., Silva, A. Existence of solution to a critical trace equation with variable exponent. Asymptotic Anal. 2015;93(1-2):161-185.
http://dx.doi.org/10.3233/ASY-151289