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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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
Descripción
Sumario: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.

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