A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems

De Filippis, C.; Mingione, G.

doi:10.1090/spmj/1608

A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
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by C. De Filippis and G. Mingione

St. Petersburg Math. J. 31 (2020), 455-477

DOI: https://doi.org/10.1090/spmj/1608

Published electronically: April 30, 2020

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Abstract:

In a borderline case which was not covered before, nonlinear Calderón–Zygmund estimates are shown to be valid for a class of nonuniformly elliptic problems driven by double phase energies.

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