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.
Hölder continuity of local minimizers / Cupini G.; Fusco N.; Petti R.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 235:2(1999), pp. 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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