Overdetermined problems in groups of Heisenberg type: conjectures and partial results (Q6592072)

scientific article; zbMATH DE number 7900786

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English	Overdetermined problems in groups of Heisenberg type: conjectures and partial results	scientific article; zbMATH DE number 7900786

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instance of

scholarly article

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title

Overdetermined problems in groups of Heisenberg type: conjectures and partial results (English)

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Journal of Functional Analysis

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publication date

24 August 2024

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zbMATH Keywords

groups of Heisenberg type

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overdetermined problems

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horizontal $p$-Laplacian

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MaRDI profile type

Publication

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cites work

Symmetry for degenerate parabolic equations

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A characteristic property of spheres

0 references

A Theorem on Holonomy

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The octonions

0 references

Schauder estimates at the boundary for sub-Laplacians in Carnot groups

0 references

Size of characteristic sets and functions with prescribed gradient

0 references

Compactness methods for $\gamma ^{1,\alpha }$ boundary Schauder estimates in Carnot groups

0 references

Higher order boundary Schauder estimates in Carnot groups

0 references

Q4214027

0 references

Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes

0 references

Einstein manifolds

0 references

Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

0 references

Submanifolds and special structures on the octonians

0 references

An Extension Problem Related to the Fractional Laplacian

0 references

Geometric analysis on <i>H</i> -type groups related to division algebras

0 references

Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group

0 references

Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group

0 references

An embedding theorem and the harnack inequality for nonlinear subelliptic equations

0 references

Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations

0 references

Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics

0 references

Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type

0 references

Mutual Absolute Continuity of Harmonic and Surface Measures for Hormander Type Operators

0 references

Regularity of quasi-linear equations with Hörmander vector fields of step two

0 references

Q4797360

0 references

$H$-type groups and Iwasawa decompositions

0 references

An approach to symmetric spaces of rank one via groups of Heisenberg type

0 references

Regularity at the boundary for solutions of nonlinear subelliptic equations

0 references

Q4363057

0 references

Sub-Riemannian calculus on hypersurfaces in Carnot groups

0 references

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)

0 references

Sur un théorème de traces. (On a trace theorem)

0 references

On complex H-type Lie algebras

0 references

Q3240966

0 references

Q5734699

0 references

A fundamental solution for a subelliptic operator

0 references

Subelliptic estimates and function spaces on nilpotent Lie groups

0 references

Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

0 references

An extension problem for the CR fractional Laplacian

0 references

Geometric second derivative estimates in Carnot groups and convexity

0 references

Gradient bounds for the horizontal $p$-Laplacian on a Carnot group and some applications

0 references

Q5506866

0 references

A Symmetry Result Related to Some Overdetermined Boundary Value Problems

0 references

Boundary behavior of $p$-harmonic functions in the Heisenberg group

0 references

Properties of a frequency of Almgren type for harmonic functions in Carnot groups

0 references

Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates

0 references

Feeling the heat in a group of Heisenberg type

0 references

A heat equation approach to intertwining

0 references

Heat kernels for a class of hybrid evolution equations

0 references

Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.

0 references

Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type

0 references

Quasiregular maps on Carnot groups

0 references

The Automorphism Group of a Lie Group

0 references

Hypoelliptic second order differential equations

0 references

Q3059725

0 references

The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds

0 references

Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

0 references

Riemannian nilmanifolds attached to Clifford modules

0 references

On the Geometry of Groups of Heisenberg Type

0 references

Q3346500

0 references

Q3772867

0 references

Boundary Behavior of Harmonic Forms on a Rank One Symmetric Space

0 references

Q3671655

0 references

Geometric properties of Heisenberg-type groups

0 references

Quasiconformal mappings on the Heisenberg group

0 references

Foundations for the theory of quasiconformal mappings on the Heisenberg group

0 references

A unified approach to compact symmetric spaces of rank one

0 references

Characteristic points, rectifiability and perimeter measure on stratified groups

0 references

Finite Lorentz transformations, automorphisms, and division algebras

0 references

The differential of a quasi-conformal mapping of a Carnot-Carathéodory space

0 references

Q4693168

0 references

Hypoellipticite analytique sur des groupes nilpotents de rang 2

0 references

Editorial board

0 references

Transformation groups of spheres

0 references

Strong Rigidity of Locally Symmetric Spaces. (AM-78)

0 references

$C^{1, \alpha}$-regularity for variational problems in the Heisenberg group

0 references

Balls and metrics defined by vector fields. I: Basic properties

0 references

$p$-harmonic functions in the Heisenberg group: boundary behaviour in domains well-approximated by non-characteristic hyperplanes

0 references

Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1

0 references

Radial symmetry for<i>p</i>-harmonic functions in exterior and punctured domains

0 references

Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains

0 references

Mean Curvature, The Laplacian, and Soap Bubbles

0 references

$H$-type groups and Clifford modules

0 references

The Automorphism Group of a Composition of Quadratic Forms

0 references

Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group

0 references

An Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups

0 references

Q4365791

0 references

Q3584260

0 references

A symmetry problem in potential theory

0 references

On the transitivity of holonomy systems

0 references

Q4146925

0 references

On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group

0 references

Remark on the preceding paper of Serrin

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Identifiers

zbMATH Open document ID

1547.35466

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Mathematics Subject Classification ID

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10.1016/J.JFA.2024.110588

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Sitelinks

Mathematics(1 entry)

mardi Publication:6592072