A nonlinear fabes—stroock result

DOI10.1080/03605309808821375zbMath0911.35026OpenAlexW2065055493MaRDI QIDQ4212419

Ken Fok

Publication date: 6 October 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821375

zbMATH Keywords

subsolutionfully nonlinear equationsPucci extremal operatorsublinear functional representation

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Related Items (17)

Solvability of uniformly elliptic fully nonlinear PDE ⋮ A review of some new results in the theory of linear elliptic equations with drift in \(L_d\) ⋮ Aleksandrov-Bakelman-Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE ⋮ Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations ⋮ On Nondegenerate Itô Processes with Moderated Drift ⋮ A review of some new results in the theory of linear elliptic equations with drift in L_d ⋮ Linear and fully nonlinear elliptic equations with Morrey drift ⋮ On diffusion processes with drift in a Morrey class containing \(L_{d+2}\) ⋮ LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS ⋮ Maximum principle for fully nonlinear equations via the iterated comparison function method ⋮ Regularity properties for a class of non-uniformly elliptic Isaacs operators ⋮ On stochastic equations with drift in \({L_d}\) ⋮ Pointwise properties of \(L^p\)-viscosity solutions of uniformly elliptic equations with quadratically growing gradient terms ⋮ Linear and fully nonlinear elliptic equations with L_d-drift ⋮ Aleksandrov-Bakelman-Pucci maximum principle for \(L^p\)-viscosity solutions of equations with unbounded terms ⋮ Aleksandrov’s estimates for elliptic equations with drift in Morrey spaces containing 𝐿_{𝑑} ⋮ Existence of solutions to a fully nonlinear free transmission problem

Cites Work

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• Interior a priori estimates for solutions of fully nonlinear equations
• The \(L^ p\)-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
• Limitazioni per soluzioni di equazioni ellittiche
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients

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