Glaeser's type gradient estimates for non-negative solutions of fully nonlinear elliptic equations

DOI10.3934/dcds.2010.28.539zbMath1193.35043OpenAlexW2030918138MaRDI QIDQ983450

Antonio Vitolo, Italo Capuzzo-Dolcetta

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.539

zbMATH Keywords

maximum principleselliptic equationsviscosity solutionsgradient estimates

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Positive solutions to PDEs (35B09)

Related Items (11)

Regularity for radial solutions of degenerate fully nonlinear equations ⋮ On the growth of positive entire solutions of elliptic PDEs and their gradients ⋮ Glaeser's type interpolation inequalities ⋮ Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ Comparison principles for infinity-Laplace equations in Finsler metrics ⋮ A Few Recent Results on Fully Nonlinear PDE’s ⋮ Regularity properties for a class of non-uniformly elliptic Isaacs operators ⋮ Viscosity solutions of uniformly elliptic equations without boundary and growth conditions at infinity ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations ⋮ Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues

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