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....
1, pp. 019–028, March 2006 c 2006 International Press 002 THE INVERSE MEAN CURVATURE FLOW IN ROBERTSON-WALKER SPACES AND ITS APPLICATION TO COSMOLOGY∗ CLAUS GERHARDT† Abstract. We consider the inverse mean curvature flow in Robertson-Walker spacetimes that satisfy the Einstein equations and...
In this paper, we show that the first nonzero eigenvalues λ1 of the Laplacian and the p-Laplacian are decreasing along the inverse mean curvature flow in the hyperbolic space and in the sphere. For a convex closed surface M⊂S3, we show that the geometric quantity λ1⋅Area(M) is ...
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 ...
Q. Ding, The inverse mean curvature flow in rotationally symmetric spaces, Chinese Annals of Mathematics, Series B, 32, 27-44 (2011)Ding Q.: The inverse mean curvature flow in rotationally symmetric spaces. Chin. Ann. Math. Ser. B 32 (1), 27–44 (2011) MathSciNet MATH...
摘要: We consider the level set formulation of the inverse mean curvature flow. We establish a connection to the problem of p-harmonic functions and give a new proof for the existence of weak solutions.关键词: CURVATURE HARMONIC functions DIFFERENTIAL equations, Partial CALCULUS MATHEMATICS ...
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
Quite recently, Scheuer [17] has obtained long-time existence and convergence results for the locally constrained inverse mean curvature flowddtx=(u−ϕ′p1)ν in de Sitter space S1n, with initial value x0 any compact spacelike mean convex hypersurface. As an application, Scheuer discovered...
The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow : Advances in Calculus of Va... ONTHEINVERSEPROBLEMINCALCULUSOFVARIATIONSLiangLi-fu(梁立孚)Shizhi-fei(石志飞)(HurbinShiphuildingEnginieeringInstitule,Harbin)(Recei... SSD ...
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