An application of \(C^{1,1}\) approximation to comparison principles for viscosity solutions of curvature equations

DOI10.1016/j.na.2005.05.064zbMath1208.35053OpenAlexW2048484080MaRDI QIDQ2492433

Andrew S. Eberhard, Yousong Luo

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.05.064

zbMATH Keywords

viscosity solutioncomparison principlenon-smooth analysiscurvature equation

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (2)

On the uniqueness of solutions of spectral equations ⋮ The Dirichlet problem for prescribed principal curvature equations

Cites Work

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• Comparison principles for viscosity solutions of elliptic equations via fuzzy sum rule
• Moreau's decomposition theorem revisited
• The Dirichlet problem for the prescribed curvature quotient equations
• On the uniqueness of solutions of the homogeneous curvature equations
• The Dirichlet problem for the prescribed curvature equations
• User’s guide to viscosity solutions of second order partial differential equations
• Variational Analysis
• Limiting subhessians, limiting subjets and their calculus

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