A borderline case of Calderón-Zygmund estimates for non-uniformly elliptic problems

2019/01/17 by Cristiana De Filippis, Giuseppe Mingione, De Filippis, Cristiana +1 · 3 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1901.05603

openalex publication_date 2019/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show, in a borderline case which was not covered before, the validity of nonlinear Calderón-Zygmund estimates for a class of non-uniformly elliptic problems driven by double phase energies.

Cited by

• Regularity for mixed-order nonlinear fractional equations with degenerate coefficients
• Bounded solutions and interpolative gap bounds for degenerate parabolic double phase problems
• Partial regularity for parabolic systems of double phase type

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