Three representations of the fractional \(p\)-Laplacian: semigroup, extension and Balakrishnan formulas

DOI10.1515/fca-2021-0042zbMath1498.35570arXiv2010.06933OpenAlexW3193999072WikidataQ113741129 ScholiaQ113741129MaRDI QIDQ2236844

David Gómez-Castro, Félix del Teso, Juan Luis Vazquez

Publication date: 26 October 2021

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06933

zbMATH Keywords

extension problemfractional \(p\)-LaplacianBochner's subordinationBalakrishnan's formulaspectral formulationsemigroup formula

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Regularity estimates for fractional orthotropic \(p\)-Laplacians of mixed order ⋮ Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient ⋮ Swarming: hydrodynamic alignment with pressure ⋮ Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation ⋮ Symmetrization for fractional nonlinear elliptic problems ⋮ Fractional elliptic problems on Lipschitz domains: regularity and approximation ⋮ Some evaluations of the fractional \(p \)-Laplace operator on radial functions ⋮ The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems ⋮ Integral operators defined ``up to a polynomial

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