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arXiv · 2203.05519

Singular multiple integrals and nonlinear potentials

Cristiana De Filippis·Bianca Stroffolini
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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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Cristiana De Filippis, Bianca Stroffolini. 2022-03-10. Singular multiple integrals and nonlinear potentials. https://arxiv.org/abs/2203.05519

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