We study integral vectorial functionals \[ F(u,\Omega)=\int_\Omega f(x,u(x),D u(x))dx \] where $f$ satisfies quasi-convexity assumptions and its growth is controlled in terms of N-functions. We obtain semicontinuity results in the weak* topology of Orlicz-Sobolev spaces.
Semicontinuity of vectorial functionalsin Orlicz-Sobolev spaces / M. Focardi. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - STAMPA. - 29:(1997), pp. 141-161.
Semicontinuity of vectorial functionalsin Orlicz-Sobolev spaces
FOCARDI, MATTEO
1997
Abstract
We study integral vectorial functionals \[ F(u,\Omega)=\int_\Omega f(x,u(x),D u(x))dx \] where $f$ satisfies quasi-convexity assumptions and its growth is controlled in terms of N-functions. We obtain semicontinuity results in the weak* topology of Orlicz-Sobolev spaces.
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