Comparison principles for viscosity solutions of elliptic equations via fuzzy sum rule

DOI10.1016/J.JMAA.2005.01.055zbMath1128.35309OpenAlexW2038110156MaRDI QIDQ557027

Yousong Luo, Andrew S. Eberhard

Publication date: 23 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.055

zbMATH Keywords

Comparison principlesFuzzy sum ruleNon-smooth analysisViscosity solutions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary value problems for nonlinear higher-order PDEs (35G30) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Fuzzy real analysis (26E50)

Related Items (6)

On the comparison principle for second order elliptic equations without first and zeroth order terms ⋮ On the uniqueness of solutions of spectral equations ⋮ Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations ⋮ An application of \(C^{1,1}\) approximation to comparison principles for viscosity solutions of curvature equations ⋮ Comparison principles for viscosity solutions of elliptic equations via fuzzy sum rule ⋮ Remarks on the comparison principle for quasilinear PDE with no zeroth order terms

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