On Weak and Viscosity Solutions of Nonlocal Double Phase Equations

DOI10.1093/imrn/rnab351OpenAlexW3167028833MaRDI QIDQ5886584

Chao Zhang, Yuzhou Fang

Publication date: 5 April 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04412

Mathematics Subject Classification ID

Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Local Hölder continuity for fractional nonlocal equations with general growth ⋮ Harnack inequality for the nonlocal equations with general growth ⋮ Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth ⋮ Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations ⋮ Asymptotic mean value properties for the elliptic and parabolic double phase equations ⋮ Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data ⋮ Gradient regularity in mixed local and nonlocal problems ⋮ Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation ⋮ Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity ⋮ Hölder regularity for weak solutions to nonlocal double phase problems

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