On the uniqueness of solutions of the homogeneous curvature equations

DOI10.1016/S0294-1449(16)30117-2zbMath0866.35032MaRDI QIDQ1924442

T. R. Cranny

Publication date: 21 July 1997

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1996__13_5_619_0

zbMATH Keywords

viscosity solutionsdegenerate prescribed curvature equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

On the uniqueness of solutions of spectral equations ⋮ An application of \(C^{1,1}\) approximation to comparison principles for viscosity solutions of curvature equations ⋮ Singular sets for curvature equation of order \(k\)

Cites Work

• Isoperimetric inequalities for quermassintegrals
• The Dirichlet problem for the prescribed curvature equations
• SOLUTION OF THE DIRICHLET PROBLEM FOR CURVATURE EQUATIONS OF ORDER $ m$
• Viscosity Solutions of Hamilton-Jacobi Equations
• A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations

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