Complete noncompact self-similar solutions of Gauss curvature flows. I: Positive powers

From MaRDI portal
Publication:1392477

DOI10.1007/s002080050187zbMath0910.53043OpenAlexW3021794902MaRDI QIDQ1392477

John I. E. Urbas

Publication date: 25 April 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050187




Related Items (24)

A unified flow approach to smooth, even \(L_p\)-Minkowski problemsA Liouville-Gelfand equation for \(k\)-Hessian operatorsMultiple solutions of the \(L_{p}\)-Minkowski problemIsometric deformations of the \({\mathcal K}^{\frac{1}{4}}\)-flow translators in \(\mathbb{R}^3\) with helicoidal symmetryAffine self-similar solutions of the affine curve shortening flow. I: The degenerate caseTranslators of flows by powers of the Gauss curvatureExistence for translating solutions of Gauss curvature flow on exterior domainsEntire self-expanders for power of \(\sigma_k\) curvature flow in Minkowski spaceRotational \(K^{\alpha}\)-translators in Minkowski spaceTranslating solitons to flows by powers of the Gaussian curvature in Riemannian productsSymmetry of solutions to a class of Monge-Ampère equationsTranslating solutions to the Gauss curvature flow with flat sidesNoncompact L_p-Minkowski problemsThe evolution of complete non-compact graphs by powers of Gauss curvatureRotationally symmetric translating soliton of \(H^{k}\)-flowThe \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometrySoliton solutions to the curve shortening flow on the sphereConvergence of Gauss curvature flows to translating solitonsSelf-similar solutions to the curve shortening flowAn invariant second-order curve flow in centro-affine geometryOn asymptotic behavior for singularities of the powers of mean curvature flowRepresentation formulae for higher order curvature flowsAncient solutions for flow by powers of the curvature in \(\mathbb{R}^2\)On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\)




This page was built for publication: Complete noncompact self-similar solutions of Gauss curvature flows. I: Positive powers