INVESTIGADORES
SILVA Analia Concepcion
artículos
Título:
Existence of solution to a critical equation with variable exponent
Autor/es:
JULIÁN FERNÁNDEZ BONDER; NICOLAS SAINTIER; ANALÍA SILVA
Revista:
ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA
Editorial:
SUOMALAINEN TIEDEAKATEMIA
Referencias:
Lugar: Helsinki; Año: 2012
ISSN:
1239-629X
Resumen:
In this paper we study the existence problem for the $p(x)-$Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not holds in general in the variable exponent setting. The proof relies on the Concentration--Compactness Principle for variable exponents and the Mountain Pass Theorem.
