Weak solutions of inverse mean curvature flow for hypersurfaces with boundary

DOI10.1515/crelle-2014-0116zbMath1371.53064OpenAlexW2324533867MaRDI QIDQ2363272

Thomas Marquardt

Publication date: 13 July 2017

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/270977

zbMATH Keywords

weak solutionsinverse mean curvature flowhypersurfaces with boundarylevel set description

Mathematics Subject Classification ID

Related Items (9)

Evolution of noncompact hypersurfaces by inverse mean curvature ⋮ Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball ⋮ Evaluation of the mass of an asymptotically hyperbolic manifold ⋮ An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space \(\mathbb{R}^{n+1}_1\) ⋮ Doubling of asymptotically flat half-spaces and the Riemannian Penrose inequality ⋮ The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary ⋮ Capacity inequalities and rigidity of cornered/conical manifolds ⋮ On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space ⋮ Existence of self-similar solutions of the inverse mean curvature flow

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