Regularity results for a class of nonlocal double phase equations with VMO coefficients

2023/03/14 by Byun, Sun-Sig, Kim, Kyeongbae, Kumar, Deepak · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.07749

Abstract

We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher Hölder continuity result for weak solutions to such problems are obtained under the assumptions that the associated coefficient functions are of type VMO (vanishing mean oscillation) and that the principal coefficient depends not only on the variables but also on the solution itself.

Cited by

• Regularity for mixed-order nonlinear fractional equations with degenerate coefficients
• Higher Hölder regularity for fractional (p,q)-Laplace equations

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