Singular multiple integrals and nonlinear potentials
Analysis of PDEs
2022-03-11 v1
Abstract
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.
Cite
@article{arxiv.2203.05519,
title = {Singular multiple integrals and nonlinear potentials},
author = {Cristiana De Filippis and Bianca Stroffolini},
journal= {arXiv preprint arXiv:2203.05519},
year = {2022}
}
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