INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
Existence of solution to a critical trace equation with variable exponent
Autor/es:
J. FERNÁNDEZ BONDER; N. SAINTIER; A. SILVA
Revista:
ASYMPTOTIC ANALYSIS
Editorial:
IOS PRESS
Referencias:
Lugar: Amsterdam; Año: 2015
ISSN:
0921-7134
Resumen:
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.
