IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Existence of solution to a critical equation with variable exponent
Autor/es:
JULIAN FERNANDEZ BONDER; NICOLAS SAINTIER; ANALIA SILVA
Revista:
ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA
Editorial:
SUOMALAINEN TIEDEAKATEMIA
Referencias:
Lugar: Helsinki; Año: 2012 vol. 37 p. 579 - 594
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 ConcentrationCompactness Principle for variable exponents and the Mountain Pass Theorem.
