INVESTIGADORES
SILVA Analia Concepcion
artículos
Título:
On the Sobolev Trace Theorem for variable exponent spaces in the critical range
Autor/es:
JULIÁN FERNÁNDEZ BONDER; NICOLAS SAINTIER; ANALÍA SILVA
Revista:
ANNALI DI MATEMATICA PURA ED APPLICATA
Editorial:
SPRINGER HEIDELBERG
Referencias:
Lugar: Heidelberg; Año: 2014 vol. 4 p. 1607 - 1628
ISSN:
0373-3114
Resumen:
In this paper we study the Sobolev Trace Theorem for variable exponent spaceswith critical exponents. We find conditions on the best constant in order to guaranty theexistence of extremals. Then we give local conditions on the exponents and on the domain (inthe spirit of Adimurthy and Yadava) in order to satisfy such conditions, and therefore to ensurethe existence of extremals.