New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs

DOI10.1007/s00526-019-1620-2zbMath1426.35051arXiv1812.09589OpenAlexW2977301906WikidataQ114229055 ScholiaQ114229055MaRDI QIDQ2328015

Alessandro Goffi, Martino Bardi

Publication date: 8 October 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09589

zbMATH Keywords

viscosity subsolutionHamilton-Jacobi-Bellman formnonlinear subelliptic PDEs in Carnot groupssubunit vector field

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) 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) Comparison principles in context of PDEs (35B51)

Related Items (9)

On the Liouville property for fully nonlinear equations with superlinear first-order terms ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries ⋮ Strong maximum principle and boundary estimates for nonhomogeneous elliptic equations ⋮ Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group ⋮ On a strong maximum principle for fully nonlinear subelliptic equations with Hörmander condition ⋮ Positivity sets of supersolutions of degenerate elliptic equations and the strong maximum principle ⋮ A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds ⋮ Sublinear equations driven by Hörmander operators

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