INVESTIGADORES
SILVA Analia Concepcion
artículos
Título:
Existence of solution to a critical trace equation with variable exponent
Autor/es:
JULIÁN FERNÁNDEZ BONDER; NICOLAS SAINTIER; ANALÍA SILVA
Revista:
ASYMPTOTIC ANALYSIS
Editorial:
IOS PRESS
Referencias:
Lugar: Amsterdam; Año: 2015 vol. 93 p. 161 - 185
ISSN:
0921-7134
Resumen:
In this paper we study sufficient local conditions for the existence of non-trivialsolution to a critical equation for the p(x)−Laplacian where the critical term is placed as asource through the boundary of the domain. The proof relies on a suitable generalization ofthe concentration?compactness principle for the trace embedding for variable exponent Sobolevspaces and the classical mountain pass theorem.
