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.
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container_title Journal d'analyse mathématique (Jerusalem)
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creator Nadirashvili, Nikolai S.
Penskoi, Alexei V.
description 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.
doi_str_mv 10.1007/s11854-020-0129-0
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subjects 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
title Free boundary minimal surfaces and overdetermined boundary value problems
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