Local Hölder continuity for fractional nonlocal equations with general growth

DOI10.1007/s00208-022-02472-yzbMath1522.35543arXiv2112.13958OpenAlexW4226067601WikidataQ114231095 ScholiaQ114231095MaRDI QIDQ6047245

Jihoon Ok, Sun-Sig Byun, Hyo-Jin Kim

Publication date: 7 September 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13958

zbMATH Keywords

fractional Sobolev-Poincaré inqualitygeneralized fractional \(p\)-Laplacian equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Harnack inequality for the nonlocal equations with general growth ⋮ Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth ⋮ 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 ⋮ Local Hölder regularity for nonlocal equations with variable powers ⋮ Hölder regularity for weak solutions to nonlocal double phase problems

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