Suchergebnisse - Biharmonic and polyharmonic equations and functions in higher dimensions

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

“… (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 von Mayboroda, Svitlana, Maz’ya, Vladimir

“… 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 von Mayboroda, Svitlana, Maz'ya, Vladimir

“… 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 …”
Volltext