In this paper we study functionals with an integrand uniformly continuous in (x,u) with respect to z . We do not make any differentiability assumption on F and in particular we do not require an ellipticity condition of the type 1.3 . We prove that every minimizer of the functional is locally Holder continuous for any esponent less than 1.
Cupini G., Fusco N., Petti R. (1999). Hölder continuity of local minimizers. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 235(2), 578-597 [10.1006/jmaa.1999.6410].
Hölder continuity of local minimizers
Cupini G.;
1999
Abstract
In this paper we study functionals with an integrand uniformly continuous in (x,u) with respect to z . We do not make any differentiability assumption on F and in particular we do not require an ellipticity condition of the type 1.3 . We prove that every minimizer of the functional is locally Holder continuous for any esponent less than 1.File in questo prodotto:
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