Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups
type: Item
instance of: scholarly article
title: Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups
zbMATH Open document ID: 1322.35148
author: Vittorio Martino
author: Annamaria Montanari
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2015-08-31T00:00:00Z
Mathematics Subject Classification ID: 35R03
Mathematics Subject Classification ID: 35J96
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 6477043
zbMATH Keywords: fully nonlinear degenerate elliptic PDE's
zbMATH Keywords: elementary symmetric functions of the eigenvalues
zbMATH Keywords: horizontal Hessian
zbMATH Keywords: left-invariant vector fields
zbMATH Keywords: comparison principle
zbMATH Keywords: gradient estimates
zbMATH Keywords: Pogorelov counterexample
MaRDI profile type: Publication
full work available at URL: j.na.2015.02.009
OpenAlex ID: W2032527254
Wikidata QID: Q115342969
cites work: Convexity and semiconvexity along vector fields
cites work: Comparison principles and Dirichlet problem for fully nonlinear degenerate equations of Monge-Ampére type
cites work: Stratified Lie Groups and Potential Theory for their Sub-Laplacians
cites work: The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
cites work: Convexity and horizontal second fundamental forms for hypersurfaces in Carnot groups
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Notion of convexity in Carnot groups
cites work: The Monge-Ampère equation
cites work: Nonsmooth hypersurfaces with smooth Levi curvature
cites work: Maximum and Comparison Principles for Convex Functions on the Heisenberg Group
cites work: Q5489519
cites work: Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
cites work: Convex functions on Carnot groups
cites work: Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on Lie groups
cites work: Curvatures of left invariant metrics on Lie groups
cites work: Pseudoconvex fully nonlinear partial differential operators: strong comparison theorems
cites work: Balls and metrics defined by vector fields. I: Basic properties
cites work: Q5648858
cites work: On Hessian measures for non-commuting vector fields
cites work: Q5758550
cites work: Viscosity convex functions on Carnot groups
DOI: 10.1016/J.NA.2015.02.009
description: scientific article; zbMATH DE number 6477043