Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal \(p\)-Laplace equation

DOI10.1007/s10231-021-01177-4zbMath1495.35052arXiv2010.05727OpenAlexW3214548914MaRDI QIDQ2159759

Agnid Banerjee, Prashanta Garain, Juha Kinnunen

Publication date: 2 August 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.05727

zbMATH Keywords

energy estimatesDe Giorgi's methoddoubly nonlinear parabolic equationfractional \(p\)-Laplace equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92) Integro-partial differential equations (35R09)

Related Items

On the regularity theory for mixed local and nonlocal quasilinear elliptic equations, Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation, Local properties of fractional parabolic De Giorgi classes of order \(s, p\), Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic p-Laplace equations, Hölder regularity for parabolic fractional \(p\)-Laplacian, On the weak Harnack estimate for nonlocal equations, Weak Harnack inequality for a mixed local and nonlocal parabolic equation, Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements, Local boundedness of a mixed local-nonlocal doubly nonlinear equation

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