A survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations

DOI10.7153/DEA-08-09zbMath1345.35002OpenAlexW2513847793MaRDI QIDQ2806485

Jagmohan Tyagi, Ram Baran Verma

Publication date: 18 May 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/dea-08-09-abs.pdf

zbMATH Keywords

Bellman-Isaacs equationMonge-Ampère equationeigenvalue problemsviscosity solutionssingular elliptic equationsfully nonlinear elliptic equationPerron's comparison principlePucci extremal operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fundamental solutions to PDEs (35A08) Nonlinear elliptic equations (35J60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (6)

Positive solution of extremal Pucci's equations with singular and sublinear nonlinearity ⋮ LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS ⋮ Positive solution to extremal Pucci's equations with singular and gradient nonlinearity ⋮ Existence of solutions to fully nonlinear elliptic equations with gradient nonlinearity ⋮ Fully nonlinear degenerate equations with sublinear gradient term ⋮ A three solutions theorem for Pucci's extremal operator and its application

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