Regularity of minimal and CMC stable hypersurfaces: a brief overview (Q2042488)

scientific article; zbMATH DE number 7373042

Language	Label	Description	Also known as
English	Regularity of minimal and CMC stable hypersurfaces: a brief overview	scientific article; zbMATH DE number 7373042

Statements

instance of

scholarly article

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title

Regularity of minimal and CMC stable hypersurfaces: a brief overview (English)

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author

Neshan Wickramasekera

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publication date

20 July 2021

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zbMATH Keywords

integral varifolds

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generalised mean curvature

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minimal hypersurfaces

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CMC hypersurfaces

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Allen-Cahn equation

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.2969/aspm/08510491

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cites work

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Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi

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Stability of hypersurfaces with constant mean curvature

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Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces

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The structure of weakly stable constant mean curvature hypersurfaces

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Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates

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Su una teoria generale della misura $(r-1)$-dimensionale in uno spazio ad $r$ dimensioni

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Nuovi teoremi relativi alle misure $(r - 1)$-dimensionali in uno spazio ad $r$ dimensioni

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The existence of embedded minimal hypersurfaces

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The second inner variation of energy and the Morse index of limit interfaces

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Spectrum and index of two-sided Allen–Cahn minimal hypersurfaces

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Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature

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On the second inner variations of Allen-Cahn type energies and applications to local minimizers

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Existence of infinitely many minimal hypersurfaces in positive Ricci curvature

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Morse index and multiplicity of $\min\text{-}\max$ minimal hypersurfaces

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Q3913480

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Solution of the Plateau problem for $m$-dimensional surfaces of varying topological type

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Regularity of stable minimal hypersurfaces

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Curvature estimates for minimal hypersurfaces

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Q3343931

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Minimal varieties in Riemannian manifolds

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Stable phase interfaces in the van der Waals-Cahn-Hilliard theory

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Finite Morse Index Implies Finite Ends

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A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2

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A general regularity theory for stable codimension 1 integral varifolds

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A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces

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Q2950057

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Regularity and compactness for stable codimension $1$ CMC varifolds

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Identifiers

zbMATH Open document ID

1470.53004

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Mathematics Subject Classification ID

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10.2969/ASPM/08510491

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Sitelinks

Mathematics(1 entry)

mardi Publication:2042488