Comparison principles and Dirichlet problem for fully nonlinear degenerate equations of Monge–Ampère type

DOI10.1515/forum-2013-0067zbMath1281.35056arXiv0912.4368OpenAlexW2040695168MaRDI QIDQ2868539

Martino Bardi, Paola Mannucci

Publication date: 17 December 2013

Published in: form (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4368

zbMATH Keywords

viscosity solutionsMonge-Ampére equationCarnot groupsubelliptic equationsfully nonlinear degenerate equationshorizontally convex functions

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Viscosity solutions to PDEs (35D40) Comparison principles in context of PDEs (35B51) Monge-Ampère equations (35J96)

Related Items (9)

The Dirichlet problem for fully nonlinear elliptic equations non-degenerate in a fixed direction ⋮ Hölder behavior of viscosity solutions of some fully nonlinear equations in the Heisenberg group ⋮ Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature ⋮ A comparison principle for some types of elliptic equations ⋮ Convexity and semiconvexity along vector fields ⋮ Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on Lie groups ⋮ Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups ⋮ Periodic homogenization under a hypoellipticity condition ⋮ A partial differential equation for the rank one convex envelope

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