ZERO ORDER PERTURBATIONS TO FULLY NONLINEAR EQUATIONS: COMPARISON, EXISTENCE AND UNIQUENESS

DOI10.1142/S0219199709003296zbMath1179.35119OpenAlexW2038135060MaRDI QIDQ3622806

Fernando Charro, Ireneo Peral Alonso

Publication date: 28 April 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199709003296

zbMATH Keywords

existenceuniquenessviscosity solutionscomparison principlesfully nonlinear elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Positive solutions to PDEs (35B09) Comparison principles in context of PDEs (35B51) Monge-Ampère equations (35J96)

Related Items (13)

On positive solutions of fully nonlinear degenerate Lane-Emden type equations ⋮ Non-existence of dead cores in fully nonlinear elliptic models ⋮ Harnack inequality and principal eigentheory for general infinity Laplacian operators with gradient in \(\mathbb{R}^N\) and applications ⋮ A Porous Medium Equation Involving the Infinity-Laplacian. Viscosity Solutions and Asymptotic Behavior ⋮ Liouville Theorems for infinity Laplacian with gradient and KPP type equation ⋮ Limits as \(p\to \infty \) of \(p\)-Laplacian concave-convex problems ⋮ Convergence to separate variables solutions for a degenerate parabolic equation with gradient source ⋮ Fully nonlinear degenerate equations with sublinear gradient term ⋮ Ireneo peral: forty years as mentor ⋮ A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities ⋮ Refined Asymptotics for the Infinite Heat Equation with Homogeneous Dirichlet Boundary Conditions ⋮ Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side ⋮ On the viscosity solutions of eigenvalue problems for a class of nonlinear elliptic equations

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