Not convex densities and everywhere H\"older continuity
Tiziano Granucci
TL;DR
This paper investigates the conditions under which the minima of certain vectorial integral functionals exhibit everywhere H"older continuity, contributing to the understanding of regularity in calculus of variations.
Contribution
It introduces new conditions ensuring the everywhere H"older continuity of minimizers for a class of vectorial integral functionals.
Findings
Minima are everywhere H"older continuous under specified conditions.
The results extend regularity theory to non-convex density functions.
New techniques are developed for analyzing non-convex densities.
Abstract
In this paper we study the everywhere H\"older continuity of the minima of a class of vectorial integral functionals
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Taxonomy
TopicsAdvanced Banach Space Theory · Optimization and Variational Analysis · Fixed Point Theorems Analysis