Výsledky vyhľadávania - 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
ISSN: 2640-3501, 2640-3501Vydavateľské údaje: AIMS Press 01.10.2022Vydané v 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
ISSN: 0020-9910, 1432-1297, 1432-1297Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018Vydané v 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
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 16.11.2014Vydané v 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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