On the local everywhere Hölder continuity for weak solutions of a class of not convex vectorial problems of the Calculus of Variations

Abstract

In this paper we study the regularity of the local minima of integral functionals: in particular, not convexity (quasi-convexity, policonvexity or rank one convexity) hypothesis will be made on the density, neither structure hypothesis nor radial nor diagonal.

arXiv admin note: substantial text overlap with arXiv:2211.12859