Self-similar solutions of fully nonlinear curvature flows

DOI10.2422/2036-2145.2011.2.03zbMath1234.53018OpenAlexW1545160620MaRDI QIDQ3095134

James A. McCoy

Publication date: 28 October 2011

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.2011.2.03

zbMATH Keywords

self-similar solutionsclosed hypersurfacesnonlinear curvature flows

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Self-similar solutions to PDEs (35C06)

Related Items (16)

Self-similar solutions to fully nonlinear curvature flows by high powers of curvature ⋮ Flow by powers of the Gauss curvature ⋮ Closed self-similar solutions to flows by negative powers of curvature ⋮ Uniqueness of self‐similar solutions to flows by quotient curvatures ⋮ Uniqueness of solutions to \(L_p\)-Christoffel-Minkowski problem for \(p < 1\) ⋮ Uniqueness of solutions to a class of isotropic curvature problems ⋮ Poincaré type inequality for hypersurfaces and rigidity results ⋮ Fully nonlinear curvature flow of axially symmetric hypersurfaces with boundary conditions ⋮ Uniqueness of closed self-similar solutions to \(\sigma_k^\alpha\)-curvature flow ⋮ Self-similar solutions of curvature flows in warped products ⋮ More mixed volume preserving curvature flows ⋮ Contraction of convex hypersurfaces by nonhomogeneous functions of curvature ⋮ Contracting self-similar solutions of nonhomogeneous curvature flows ⋮ The shrinking figure eight and other solitons for the curve diffusion flow ⋮ Representation formulae for higher order curvature flows ⋮ Fully nonlinear curvature flow of axially symmetric hypersurfaces

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