Geroch monotonicity and the construction of weak solutions of the inverse mean curvature flow

DOI10.4310/AJM.2015.V19.N2.A9zbMath1328.53087OpenAlexW2040416226MaRDI QIDQ2348284

Roger Moser

Publication date: 11 June 2015

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/ajm.2015.v19.n2.a9

zbMATH Keywords

inverse mean curvature flow\(p\)-harmonic functionsGeroch monotonicity formula

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds ⋮ The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary ⋮ Flux \& radii within the subconformal capacity ⋮ A non-homogeneous elliptic problem dealing with the level set formulation of the inverse mean curvature flow ⋮ The streamlines of ∞-harmonic functions obey the inverse mean curvature flow

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