Geometric second derivative estimates in Carnot groups and convexity
From MaRDI portal
Publication:948926
DOI10.1007/s00229-008-0182-yzbMath1387.35073arXiv0803.1021OpenAlexW2071858643MaRDI QIDQ948926
Publication date: 16 October 2008
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.1021
A priori estimates in context of PDEs (35B45) Convexity properties of solutions to PDEs with constant coefficients (35E10) Subelliptic equations (35H20)
Related Items
Rigidity results in diffusion Markov triples, A note on monotonicity and Bochner formulas in Carnot groups, Subelliptic geometric Hardy type inequalities on half-spaces and convex domains, Generalised Hardy type and Rellich type inequalities on the Heisenberg group, Geometric Hardy inequalities on starshaped sets, The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold, A new characterization of convexity in free Carnot groups, Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups, A survey of Hardy type inequalities on homogeneous groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
- Characteristic points, rectifiability and perimeter measure on stratified groups
- Constant mean curvature surfaces in sub-Riemannian geometry
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Convex functions on the Heisenberg group
- Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.
- The theorem of Busemann-Feller-Alexandrov in Carnot groups
- The geometric Sobolev embedding for vector fields and the isoperimetric inequality
- Sub-Riemannian calculus on hypersurfaces in Carnot groups
- Notion of convexity in Carnot groups
- First-order regularity of convex functions on Carnot groups
- Sopra una classe di equazioni ellittiche a coefficienti misurabili
- Hypoelliptic second order differential equations
- Linear and quasilinear elliptic equations
- Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
- Subelliptic Cordes estimates
- Viscosity convex functions on Carnot groups
- Maximum and Comparison Principles for Convex Functions on the Heisenberg Group
- New properties of convex functions in the Heisenberg group
- The Aronsson equation for absolute minimizers of $\{L^\infty \}$-functionals associated with vector fields satisfying Hörmander’s condition
- Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds
- The first eigenvalue of a sublaplacian on a pseudohermitian manifold
- Size of characteristic sets and functions with prescribed gradient
- ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
- The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics
- On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set