info:eu-repo/semantics/article
Existence of solution to a critical trace equation with variable exponent
Fecha
2015-06Registro en:
Fernandez Bonder, Julian; Saintier, Nicolas Bernard Claude; Silva, Analia; Existence of solution to a critical trace equation with variable exponent; IOS Press; Asymptotic Analysis; 93; 1-2; 6-2015; 161-185
0921-7134
CONICET Digital
CONICET
Autor
Fernandez Bonder, Julian
Saintier, Nicolas Bernard Claude
Silva, Analia
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.