An asymptotic expansion for the fractional p-Laplacian and for gradient-dependent nonlocal operators

DOI10.1142/S0219199721500218MaRDI QIDQ5073732

Marco Squassina, Claudia Bucur

Publication date: 3 May 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09892

zbMATH Keywords

fractional \(p\)-Laplacianmean value formulasnonlocal \(p\)-Laplaciangradient-dependent operatorsinfinite fractional Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Entropy and other invariants (28D20) Quantum equilibrium statistical mechanics (general) (82B10) Operator theory (47-XX) Partial differential equations (35-XX)

Related Items (7)

The obstacle problem and the Perron method for nonlinear fractional equations in the Heisenberg group ⋮ Nonlocal Harnack inequalities in the Heisenberg group ⋮ Evolution driven by the infinity fractional Laplacian ⋮ Finite difference schemes for the parabolic \(p\)-Laplace equation ⋮ Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group ⋮ A mean value formula for the variational \(p\)-Laplacian ⋮ On asymptotic expansions for the fractional infinity Laplacian

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