We consider the integral functional Jf(x, Du) fix under non standard growth assumptions of (/>, ^)-type: namely, we assume that Iz]' 1 we prove regularity of minimizers both in the scalar and in the vectorial case, in which we allow for quasiconvex energy densities. Energies exhibiting this growth appear in several models from mathematical physics.
Calcolo delle variazioni. - Functionalwith p(x) growth and regularity / Acerbi, N. D. E.; Mingione, G.; Ambrosetti, D. S. A.. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 11:3(2000), pp. 169-174.
Calcolo delle variazioni. - Functionalwith p(x) growth and regularity
Acerbi N. D. E.
;Mingione G.;
2000-01-01
Abstract
We consider the integral functional Jf(x, Du) fix under non standard growth assumptions of (/>, ^)-type: namely, we assume that Iz]' 1 we prove regularity of minimizers both in the scalar and in the vectorial case, in which we allow for quasiconvex energy densities. Energies exhibiting this growth appear in several models from mathematical physics.File in questo prodotto:
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