INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
On the Sobolev trace Theorem for variable exponent spaces in the critical range
Autor/es:
JULIAN FERNANDEZ BONDER; NICOLAS SAINTIER; ANALIA SILVA
Revista:
ANNALI DI MATEMATICA PURA ED APPLICATA
Editorial:
SPRINGER HEIDELBERG
Referencias:
Lugar: HEIDELBERG; Año: 2014
ISSN:
0373-3114
Resumen:
In this paper we study the Sobolev Trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then we give local conditions on the exponents and on the domain (in the spirit of Adimurthy and Yadava) in order to satisfy such conditions, and therefore to ensure the existence of extremals.
