Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups

DOI10.1016/j.na.2015.02.009zbMath1322.35148OpenAlexW2032527254WikidataQ115342969 ScholiaQ115342969MaRDI QIDQ494190

Vittorio Martino, Annamaria Montanari

Publication date: 31 August 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.02.009

zbMATH Keywords

comparison principlegradient estimateshorizontal Hessianelementary symmetric functions of the eigenvaluesfully nonlinear degenerate elliptic PDE'sleft-invariant vector fieldsPogorelov counterexample

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)

Related Items

Nonsmooth viscosity solutions of elementary symmetric functions of the complex Hessian, A study of comparison, existence and regularity of viscosity and weak solutions for quasilinear equations in the Heisenberg group

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