Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions

DOI10.1112/blms.13001arXiv2305.17122OpenAlexW4391914381MaRDI QIDQ6203669

Publication date: 6 April 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.17122

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Subelliptic equations (35H20) Viscosity solutions to PDEs (35D40)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Harnack inequality for a subelliptic PDE in nondivergence form
Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group
Interior a priori estimates for solutions of fully nonlinear equations
Convexity and semiconvexity along vector fields
Adjoint and compensated compactness methods for Hamilton-Jacobi PDE
Inhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators
Convexity of solutions and \(C^{1,1}\) estimates for fully nonlinear elliptic equations
Barrier functions for Pucci-Heisenberg operators and applications
Subelliptic estimates and function spaces on nilpotent Lie groups
Convex viscosity solutions and state constraints
Interior \(C^{2,\alpha}\) regularity theory for a class of nonconvex fully nonlinear elliptic equations.
Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations
Global estimates in Sobolev spaces for homogeneous Hörmander sums of squares
A certain critical density property for invariant Harnack inequalities in H-type groups
Notion of convexity in Carnot groups
Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form
Convexity of solutions of parabolic equations
Operatori ellittice estremanti
Regularity theory for elliptic PDE
Harnack Inequality for a Degenerate Elliptic Equation
Stratified Lie Groups and Potential Theory for their Sub-Laplacians
Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
Nondivergent elliptic equations on manifolds with nonnegative curvature
On the best possible character of the 𝐿^{𝑄} norm in some a priori estimates for non-divergence form equations in Carnot groups
Harnack’s inequality for a class of non-divergent equations in the Heisenberg group
Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations

This page was built for publication: Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions