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.;
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/891725
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