Free boundary minimal surfaces and overdetermined boundary value problems

In this paper we establish a connection between free boundary minimal surfaces in a ball in ℝ 3 and free boundary cones arising in a one-phase problem.

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Veröffentlicht in:	Journal d'analyse mathématique (Jerusalem) 2020-09, Vol.141 (1), p.323-329
Hauptverfasser:	Nadirashvili, Nikolai S., Penskoi, Alexei V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Analysis Boundary value problems Cones Dynamical Systems and Ergodic Theory Free boundaries Functional Analysis Mathematics Mathematics and Statistics Minimal surfaces Partial Differential Equations
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Beschreibung
Zusammenfassung:	In this paper we establish a connection between free boundary minimal surfaces in a ball in ℝ 3 and free boundary cones arising in a one-phase problem.
ISSN:	0021-7670 1565-8538
DOI:	10.1007/s11854-020-0129-0