Local regularity for nonlocal equations with variable exponents

DOI10.1002/mana.202100521zbMath1525.35056arXiv2107.06043OpenAlexW4383273131MaRDI QIDQ6073262

Jamil Chaker, Minhyun Kim

Publication date: 17 October 2023

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

Full work available at URL: https://arxiv.org/abs/2107.06043

zbMATH Keywords

weak solutionlocal boundednessHölder regularitynonlocal equationvariable exponentCaccioppoli estimatefractional Sobolev spaceDe Giorgi iteration

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Integro-differential operators (47G20)

Related Items (1)

Hölder regularity for weak solutions to nonlocal double phase problems

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