Optimal gradient estimates for multi-phase integrals

We prove sharp reverse Hölder inequalities for minima of multi-phase variational integrals and apply them to Calderón-Zygmund estimates for nonhomogeneous problems.

Bibliographic Details
Main Author: Cristiana De Filippis
Format: Article
Language:English
Published: AIMS Press 2022-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2022043?viewType=HTML