INVESTIGADORES
SILVA Analia Concepcion
artículos
Título:
A gamma converge approach to the critical Sobolev embedding in variable exponent spaces
Autor/es:
JULIÁN FERNÁNDEZ BONDER; NICOLAS SAINTIER; ANALÍA SILVA
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2016
ISSN:
0022-247X
Resumen:
In this paper, we study the critical Sobolev embeddings W1,p(x)(Ω) ⊂ Lp∗(x)(Ω) forvariable exponent Sobolev spaces from the point of view of the Γ-convergence. More preciselywe determine the Γ-limit of subcritical approximation of the best constant associated with thisembedding. As an application we provide a sufficient condition for the existence of extremalsfor the best constant.