Analogs of Korn's inequality on Heisenberg groups

DOI10.1134/S0037446619050082zbMath1456.53028OpenAlexW4254758320MaRDI QIDQ2282617

D. V. Isangulova

Publication date: 8 January 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446619050082

zbMATH Keywords

Heisenberg groupcoercive estimateintegral representation formulaKorn inequalityLie algebra of isometry group

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

Cites Work

• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Quasiconformal mappings on the Heisenberg group
• Balls and metrics defined by vector fields. I: Basic properties
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Integral representations of differentiable functions in domains with nonsmooth boundary
• Weighted \(L_ p\)-potential theory on homogeneous groups
• Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups
• A vector field potentiality criterion in sub-Riemannian geometry
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Analogues of Korn's inequality on Heisenberg groups
• Sharp geometric rigidity of isometries on Heisenberg groups
• Korn's inequality and John domains
• On inequalities of Korn's type. I: Boundary-value problems for elliptic systems of partial differential equations
• Estimates for certain differential operators with finite-dimensional kernel
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• Rotation and strain
• Strong doubling conditions
• Regularity of quasi-linear equations in the Heisenberg group
• Sobolev met Poincaré
• Integral representations and embedding theorems for functions defined on the Heisenberg groups $\mathbb H^n$
• ON THE CORRECTNESS OF BOUNDARY VALUE PROBLEMS IN THE MECHANICS OF CONTINUOUS MEDIA
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
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