Calculus of Variations and Geometric Measure Theory
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C. De Filippis - B. Stroffolini

Singular multiple integrals and nonlinear potentials

created by stroffolini on 11 Mar 2022

[BibTeX]

Submitted Paper

Inserted: 11 mar 2022
Last Updated: 11 mar 2022

Year: 2022

ArXiv: 2203.05519 PDF
Links: Arxiv

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.

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