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Semicontinuity of vectorial functionals in Orlicz-Sobolev spaces
Focardi, M.
1997
Abstract
We study integral vectorial functionals
\[
F\left(u,\Omega\right)-\underset{\Omega}{\int}f\left(x,u\left(x\right),Du\left(x\right)\right)dx
\]
where f satisfies quasi-convexity assumption and its growth is controlled
in term of N-functions. We obtain semicontinuity results in the weak{*}
topology of Orlicz-Sobolev spaces.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
29 (1997)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
M. Focardi, "Semicontinuity of vectorial functionals in Orlicz-Sobolev spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 29 (1997), pp. 141-161.
Languages
en
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