Huisken, G., Ilmanen, T.: The inverse mean curvature flow and the Rieman-nian Penrose inequality. J. Diff. Geom. 59, 353-437 (2001)G. Huisken, and T. Ilmanen, The inverse mean curvature flow and the Rieman- nian Penrose inequality, J. Differential Geom., 59 (2001), 353-437....
TheInverseMeanCurvatureFlowandtheRiemannianPenroseInequalityGerhardHuisken?andTomIlmanen?Inthispaperwedevelopthetheoryofweaksolutionsfortheinversemeancurvature?owofhypersurfacesinaRiemannianmanifold?andapplyittoprovetheRiemannianversionofthePenroseinequalityforthetotalmassofanasymptotically?at??manifoldofnonnegativescalar...
In this paper, we consider the evolution of spacelike graphic hypersurfaces defined over aspacelike hypersurface Ω (with convex boundary), in the (n+1)-dimensional Lorentz manifold M^n×mathbbRalong an anisotropic inverse mean curvatureflow with the van
The inverse mean curvature flow in warped cylinders of non-positive radial curvature_2017_Julian Scheuer Advances in Mathematics 306 (2017) 1130–1163Contents lists available at ScienceDirectAdvances in Mathematicswww.elsevier.com/locate/aimThe inverse mean curvature fl ow in warped cylinders of non-...
The inverse mean curvature flow is a geometric evolution problem that is turned into a degenerate elliptic problem by a level set formulation. In the latter form, it may be regarded as a special case of an obstacle problem. In this paper, solutions of the problem are constructed with an app...
We study solutions to the inverse mean curvature flow which evolve by homotheties of a given submanifold with arbitrary dimension and codimension. We first show that the closed ones are necessarily spherical minimal immersions and so we reveal the strong rigidity of the Clifford torus in this ...
A counterexam-ple was recently given by Hung and Wang in case of the inverse mean curvature flow,F=Handp= 1,cf.[3]. Also in casep>1we do not expect that the convergence can be improved, since the evolution equationof the traceless second fundamental form‖ ̊A‖2=‖A‖2−1nH2(...
B. Hein, A homotopy approach to solving the inverse mean curvature flow, Calc. Var. Partial Differential Equations 28 (2007), 249-273.A homotopy approach to solving the inverse mean curvature flow, Cal.Var. and PDE’s - Hein () Citation Context ...ature H ≥ 0 with respect to its ...
REMARKS ON THE INVERSE MEAN CURVATURE FLOW In this short note we investigate the regularity of 2-surfaces evolving by its inverse mean curvature in an asymptotically ∞at Riemannian 3-manifold and d... K Smoczyk - 《Asian Journal of Mathematics》...
The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow. Adv. Calc. Var. 6, 2 (2013), 123-164.J.M. Mazon, S. Segura de Leon, The Dirichlet problem for a singular elliptic equation arising in the level set ...