Perron's method and Wiener's theorem for a nonlocal equation

DOI10.1007/s11118-016-9603-9zbMath1378.35124arXiv1603.09184OpenAlexW2963669678WikidataQ59611496 ScholiaQ59611496MaRDI QIDQ526991

Erik Lindgren, Peter Lindqvist

Publication date: 15 May 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09184

zbMATH Keywords

Dirichlet problemPerron's methodfractional \(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (10)

The Dirichlet problem for the \(p\)-fractional Laplace equation ⋮ The obstacle problem and the Perron method for nonlinear fractional equations in the Heisenberg group ⋮ Fractional non-linear regularity, potential and balayage ⋮ Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations ⋮ The Wiener criterion for nonlocal Dirichlet problems ⋮ Unnamed Item ⋮ Three representations of the fractional \(p\)-Laplacian: semigroup, extension and Balakrishnan formulas ⋮ Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type ⋮ Developments and perspectives in nonlinear potential theory ⋮ Fractional thoughts

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