Hölder regularity for weak solutions to nonlocal double phase problems

DOI10.1016/j.matpur.2022.11.001zbMath1504.35104arXiv2108.09623OpenAlexW3193399295MaRDI QIDQ2107146

Sun-Sig Byun, Jihoon Ok, Kyeong Song

Publication date: 1 December 2022

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.09623

zbMATH Keywords

Hölder continuitylocal boundednessnonlocal operatordouble phase

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

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 ⋮ A new kind of double phase elliptic inclusions with logarithmic perturbation terms. II: Applications ⋮ Higher Hölder regularity for nonlocal parabolic equations with irregular kernels ⋮ Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities ⋮ Gradient regularity in mixed local and nonlocal problems ⋮ A Hölder estimate with an optimal tail for nonlocal parabolic \(p\)-Laplace equations ⋮ Unnamed Item ⋮ Local Hölder regularity for nonlocal equations with variable powers

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