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Potential theory on minimal hypersurfaces. II: Hardy structures and Schrödinger operators - MaRDI portal

Potential theory on minimal hypersurfaces. II: Hardy structures and Schrödinger operators (Q2067266)

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Potential theory on minimal hypersurfaces. II: Hardy structures and Schrödinger operators
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    Potential theory on minimal hypersurfaces. II: Hardy structures and Schrödinger operators (English)
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    18 January 2022
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    This article discusses the potential theory on generally singular area-minimizing and, more generally, on almost minimizing hypersurfaces frequently occuring in geometry, dynamics and physics. Given an (almost) minimizing hypersurface \(H\) containing a singular set \(\Sigma\) the authors develop a detailed potential theory on \(H\setminus \Sigma\) for a large class of linear second-order elliptic operators. For Part I, see [the author, Potential Anal. 53, No. 4, 1493--1528 (2020; Zbl 1472.30027)].
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    minimal hypersurfaces
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    potential theory
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    boundary Harnack inequalities
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