INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
On the existence of extremals for the Sobolev trace embedding theorem with critical exponent.
Autor/es:
JULIAN FERNANDEZ BONDER; ROSSI, JULIO DANIEL
Revista:
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Editorial:
OXFORD UNIV PRESS
Referencias:
Año: 2005 p. 119 - 125
ISSN:
0024-6093
Resumen:
In this paper we study the existence problem for extremals of the Sobolev trace inequality $W^{1,p}(Omega) subset L^{p_*}(partialOmega)$ where $Omega$ is a bounded smooth domain in $R^N$, $p_* = p(N − 1)/(N − p)$ is the critical Sobolev exponent and $1 < p < N$.W^{1,p}(Omega) subset L^{p_*}(partialOmega)$ where $Omega$ is a bounded smooth domain in $R^N$, $p_* = p(N − 1)/(N − p)$ is the critical Sobolev exponent and $1 < p < N$.