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

2023/02/05 by Tiziano Granucci, Granucci, Tiziano
Computer Science · Mathematics · #35J50 #49N60 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2302.02387

openalex publication_date 2023/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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