Abstract
We study the Dirichlet problem for non-homogeneous equations involving the fractional p-Laplacian. We apply Perron’s method and prove Wiener’s resolutivity theorem.
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Lindgren, E., Lindqvist, P. Perron’s Method and Wiener’s Theorem for a Nonlocal Equation. Potential Anal 46, 705–737 (2017). https://doi.org/10.1007/s11118-016-9603-9
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DOI: https://doi.org/10.1007/s11118-016-9603-9
Keywords
- Fractional p-Laplacian
- Non-local equation
- Nonlinear equation
- Degenerate equation
- Singular equation
- Nonlinear potential theory
- Perron’s method
- Resolutivity