On the regularity theory for mixed local and nonlocal quasilinear elliptic equations

DOI10.1090/tran/8621zbMath1496.35118arXiv2102.13365OpenAlexW4200006256MaRDI QIDQ5100018

Prashanta Garain, Juha Kinnunen

Publication date: 29 August 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13365

zbMATH Keywords

energy estimatesHarnack inequalitylower semicontinuityHölder continuitylocal boundednessweak Harnack inequalityexpansion of positivityDe Giorgi-Nash-Moser theorymixed local and nonlocal \(p\)-Laplace equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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