IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
On the Sobolev embedding theorem for variable exponent spaces in the critical range
Autor/es:
JULIÁN FERNÁNDEZ BONDER; NICOLAS SAINTIER; ANALÍA SILVA
Revista:
JOURNAL OF DIFFERENTIAL EQUATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2012 vol. 253 p. 1604 - 1620
ISSN:
0022-0396
Resumen:
In this paper we study the Sobolev embedding theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals.The proof is based on a suitable refinement of the estimates in the Concentration--Compactness Theorem for variable exponents and an adaptation of a convexity argument due to P.L. Lions, F. Pacella and M. Tricarico.
