On the local everywhere H\"older continuity for weak solutions of a class of not convex vectorial problems of the Calculus of Variations

Tiziano Granucci

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arXiv · 2302.02387

On the local everywhere H\"older continuity for weak solutions of a class of not convex vectorial problems of the Calculus of Variations

Tiziano Granucci

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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.

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Tiziano Granucci. 2023-02-05. On the local everywhere H\"older continuity for weak solutions of a class of not convex vectorial problems of the Calculus of Variations. https://arxiv.org/abs/2302.02387

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