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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.29 (1997) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4376
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| Title: | Semicontinuity of vectorial functionals in Orlicz-Sobolev spaces |
| Authors: | Focardi, M. |
| Issue Date: | 1997 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | 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. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 29 (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. |
| URI: | http://hdl.handle.net/10077/4376 |
| ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.29 (1997)
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