Search Results - Biharmonic and polyharmonic equations and functions in higher dimensions

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    Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations by Gazzola, Filippo, Sperone, Gianmarco

    ISSN: 2640-3501, 2640-3501
    Published: AIMS Press 01.10.2022
    Published in Mathematics in engineering (01.10.2022)
    “… (symmetry and monotonicity) of positive solutions of such equations and we show that, in conformal dimensions , the associated Green function satisfies elegant reflection and symmetry properties related to a suitable Kelvin transform…”
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    Polyharmonic capacity and Wiener test of higher order by Mayboroda, Svitlana, Maz’ya, Vladimir

    ISSN: 0020-9910, 1432-1297, 1432-1297
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018
    Published in Inventiones mathematicae (01.02.2018)
    “… We introduce a new notion of polyharmonic capacity and demonstrate necessary and sufficient conditions on the capacity of the domain responsible for the regularity of a polyharmonic function near a boundary point…”
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    Polyharmonic capacity and Wiener test of higher order by Mayboroda, Svitlana, Maz'ya, Vladimir

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 16.11.2014
    Published in arXiv.org (16.11.2014)
    “… We introduce a new notion of polyharmonic capacity and demonstrate necessary and sufficient conditions on the capacity of the domain responsible for the regularity of a polyharmonic function near a boundary point…”
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