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.
Cupini G., Migliorini A.P. (2003). Hölder Continuity for Local Minimizers of a Nonconvex Variational Problem. JOURNAL OF CONVEX ANALYSIS, 10(2), 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:
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