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Perron's Method and Wiener's Theorem for a Nonlocal Equation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0003-4309-9242
2017 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, Vol. 46, no 4, 705-737 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
SPRINGER , 2017. Vol. 46, no 4, 705-737 p.
Keyword [en]
Fractional p-Laplacian, Non-local equation, Nonlinear equation, Degenerate equation, Singular equation, Nonlinear potential theory, Perron's method, Resolutivity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-207667DOI: 10.1007/s11118-016-9603-9ISI: 000399829500004ScopusID: 2-s2.0-84994430007OAI: oai:DiVA.org:kth-207667DiVA: diva2:1104910
Note

QC 20170602

Available from: 2017-06-02 Created: 2017-06-02 Last updated: 2017-06-02Bibliographically approved

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