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http://hdl.handle.net/10077/4376| 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 | 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. | 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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| FocardiRendMat29.pdf | 253.56 kB | Adobe PDF |  View/Open |
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