Overdetermined problems in groups of Heisenberg type: conjectures and partial results
From MaRDI portal
Publication:6592072
DOI10.1016/J.JFA.2024.110588zbMATH Open1547.35466MaRDI QIDQ6592072
Dimiter Vassilev, Nicola Garofalo
Publication date: 24 August 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Potentials and capacities on other spaces (31C15) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
- \(p\)-harmonic functions in the Heisenberg group: boundary behaviour in domains well-approximated by non-characteristic hyperplanes
- An extension problem for the CR fractional Laplacian
- The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds
- Submanifolds and special structures on the octonians
- \(H\)-type groups and Clifford modules
- Boundary behavior of \(p\)-harmonic functions in the Heisenberg group
- Properties of a frequency of Almgren type for harmonic functions in Carnot groups
- On the transitivity of holonomy systems
- A characteristic property of spheres
- Characteristic points, rectifiability and perimeter measure on stratified groups
- Symmetry for degenerate parabolic equations
- Geometric second derivative estimates in Carnot groups and convexity
- Gradient bounds for the horizontal \(p\)-Laplacian on a Carnot group and some applications
- Quasiconformal mappings on the Heisenberg group
- Balls and metrics defined by vector fields. I: Basic properties
- Geometric properties of Heisenberg-type groups
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Quasiregular maps on Carnot groups
- Hypoellipticite analytique sur des groupes nilpotents de rang 2
- Riemannian nilmanifolds attached to Clifford modules
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics
- An approach to symmetric spaces of rank one via groups of Heisenberg type
- Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates
- Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- \(H\)-type groups and Iwasawa decompositions
- Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
- The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
- Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains
- Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
- Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group
- Regularity of quasi-linear equations with Hörmander vector fields of step two
- \(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group
- Schauder estimates at the boundary for sub-Laplacians in Carnot groups
- Sub-Riemannian calculus on hypersurfaces in Carnot groups
- Compactness methods for \(\gamma ^{1,\alpha }\) boundary Schauder estimates in Carnot groups
- Einstein manifolds
- On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group
- Hypoelliptic second order differential equations
- Un problème aux limites pour une classe d'opérateurs hypoelliptiques du second ordre. (A problem on the limits for a class of second order hypoelliptic operators)
- A symmetry problem in potential theory
- Remark on the preceding paper of Serrin
- Transformation groups of spheres
- Feeling the heat in a group of Heisenberg type
- Finite Lorentz transformations, automorphisms, and division algebras
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- Geometric analysis on H -type groups related to division algebras
- On the Geometry of Groups of Heisenberg Type
- The Automorphism Group of a Composition of Quadratic Forms
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Boundary Behavior of Harmonic Forms on a Rank One Symmetric Space
- Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
- An embedding theorem and the harnack inequality for nonlinear subelliptic equations
- Size of characteristic sets and functions with prescribed gradient
- Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type
- The octonions
- On complex H-type Lie algebras
- A Symmetry Result Related to Some Overdetermined Boundary Value Problems
- Mean Curvature, The Laplacian, and Soap Bubbles
- Regularity at the boundary for solutions of nonlinear subelliptic equations
- An Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups
- Radial symmetry forp-harmonic functions in exterior and punctured domains
- A unified approach to compact symmetric spaces of rank one
- An Extension Problem Related to the Fractional Laplacian
- Mutual Absolute Continuity of Harmonic and Surface Measures for Hormander Type Operators
- A fundamental solution for a subelliptic operator
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
- Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
- The Automorphism Group of a Lie Group
- A Theorem on Holonomy
- Editorial board
- Sur un théorème de traces. (On a trace theorem)
- A heat equation approach to intertwining
- Heat kernels for a class of hybrid evolution equations
- Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group
- Higher order boundary Schauder estimates in Carnot groups
This page was built for publication: Overdetermined problems in groups of Heisenberg type: conjectures and partial results
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6592072)