Calculus of Variations and Geometric Measure Theory

C. De Filippis - B. Stroffolini

Singular multiple integrals and nonlinear potentials

created by stroffolini on 11 Mar 2022
modified on 03 Apr 2023


Accepted Paper

Inserted: 11 mar 2022
Last Updated: 3 apr 2023

Journal: Journal of Functional Analysis
Pages: online first
Year: 2022

ArXiv: 2203.05519 PDF
Links: Arxiv


We prove sharp partial regularity criteria of nonlinear potential theoretic nature for the Lebesgue-Serrin-Marcellini extension of nonhomogeneous singular multiple integrals featuring (p,q)-growth conditions.