Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on Lie groups

DOI10.1007/s12220-012-9332-2zbMath1302.35384OpenAlexW2011280823WikidataQ115376850 ScholiaQ115376850MaRDI QIDQ471993

Annamaria Montanari, Vittorio Martino

Publication date: 18 November 2014

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-012-9332-2

zbMATH Keywords

comparison principleDirichlet problemsLie groupsviscosity solutionsgradient estimatesdegenerate elliptic PDEshorizontal Hessianleft invariant vector fields

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) 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

A note on monotonicity and Bochner formulas in Carnot groups, A study of comparison, existence and regularity of viscosity and weak solutions for quasilinear equations in the Heisenberg group, Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups

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