We consider integral functional of the Calculus of Variations where the energy density is a continuous function with p-growth, p > 1, uniformly convex at infinity with respect to the gradient variable. We prove that local minimizers are α-Hölder continuous for all α < 1.
Hölder Continuity for Local Minimizers of a Nonconvex Variational Problem / Cupini G.; Migliorini A.P.. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 10:2(2003), pp. 389-408.
Hölder Continuity for Local Minimizers of a Nonconvex Variational Problem
Cupini G.
;
2003
Abstract
We consider integral functional of the Calculus of Variations where the energy density is a continuous function with p-growth, p > 1, uniformly convex at infinity with respect to the gradient variable. We prove that local minimizers are α-Hölder continuous for all α < 1.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
