Borderline gradient estimates at the boundary in Carnot groups
From MaRDI portal
Publication:3383674
DOI10.1017/prm.2020.86zbMath1479.35905arXiv1905.02580OpenAlexW3110077985MaRDI QIDQ3383674
Publication date: 16 December 2021
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.02580
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear potential theory of elliptic systems
- A nonlinear Stein theorem
- Schauder estimates for sub-elliptic equations
- Universal potential estimates
- Interior a priori estimates for solutions of fully nonlinear equations
- Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
- The sub-elliptic obstacle problem: \(C^{1,\alpha }\) regularity of the free boundary in Carnot groups of step two
- Balls and metrics defined by vector fields. I: Basic properties
- The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I
- The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Hypoelliptic differential operators and nilpotent groups
- Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics
- Higher interior regularity for quasilinear subelliptic systems
- Schauder estimates by scaling
- Sub-Riemannian geometry. Proceedings of the satellite meeting of the first European congress of mathematics `Journées nonholonomes: géométrie sous-riemannienne, théorie du contrôle, robotique', Paris, France, June 30--July 1, 1992
- Linear potentials in nonlinear potential theory
- Rearrangements in Carnot groups
- Schauder estimates at the boundary for sub-Laplacians in Carnot groups
- Compactness methods for \(\gamma ^{1,\alpha }\) boundary Schauder estimates in Carnot groups
- Hypoelliptic second order differential equations
- Gradient estimates via non-linear potentials
- Symmetrization in Analysis
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Regularity for quasilinear second‐order subelliptic equations
- Pointwise Schauder estimates for second order linear equations in Carnot groups
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Regularity at the boundary for solutions of nonlinear subelliptic equations
- Gradient continuity estimates for the normalized p-Poisson equation
- Guide to nonlinear potential estimates
- Borderline Estimates for Fully Nonlinear Elliptic Equations
This page was built for publication: Borderline gradient estimates at the boundary in Carnot groups