Hypersurfaces with mean curvature prescribed by an ambient function: compactness results

DOI10.1016/j.jfa.2023.110125zbMath1529.53009arXiv2212.07354OpenAlexW4385707809MaRDI QIDQ6075491

Costante Bellettini

Publication date: 20 September 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.07354

zbMATH Keywords

prescribed mean curvatureintegral varifoldsweak second fundamental formhidden boundaries

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow

Cites Work

• Second order rectifiability of varifolds of bounded mean curvature
• Curvature varifolds with boundary
• Functionals defined on measures and applications to non equi-uniformly elliptic problems
• Hypersurfaces with mean curvature given by an ambient Sobolev function.
• Second order rectifiability of integral varifolds of locally bounded first variation
• Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
• Existence of hypersurfaces with prescribed mean curvature I -- generic min-max
• Weakly differentiable functions on varifolds
• Sets of Finite Perimeter and Geometric Variational Problems
• Regularity of stable minimal hypersurfaces
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Surfaces paramétriques généralisées
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