DEPARTAMENTO DE ECUACIONES DIFERENCIALES
Y ANÁLISIS NUMÉRICO

UNIVERSIDAD DE SEVILLA
Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico
Fecha : 24 de febrero de 2011
Hora  : 11:30
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)
François Murat
(Université Pierre et Marie Curie (Paris VI), Francia)
An example of functional which is weakly lower semicontinuous on $W_0^{1,p}$ for every $p>2$ but not on $H_0^1$
Resumen
In this work in collaboration with Fernando Farroni and Raffaella Giova we give an example of functional which is defined and coercive on $H^1_0(\Omega)$, which is sequentially weakly lower semi\-continuous on $W^{1,p}_0(\Omega)$ for every $p>2$, but which is not sequentially lower semi\-continuous on $H^{1}_0(\Omega)$. This functional is non local.