Global Poincaré inequalities on the Heisenberg group and applications

DOI10.1007/s10114-005-0874-0zbMath1131.46024OpenAlexW2397684000MaRDI QIDQ2641538

Lijing Sun, Yuxin Dong, Guozhen Lu

Publication date: 20 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0874-0

zbMATH Keywords

Heisenberg groupSobolev inequalitiesPoincaré inequalitiesbest constants

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nilpotent and solvable Lie groups (22E25)

Related Items (12)

Existence of radial solutions of the Kohn–Laplacian problem ⋮ Existence of positive radial solution for Neumann problem on the Heisenberg group ⋮ Existence of radial solutions for a weighted \(p\)-biharmonic problem with Navier boundary condition on the Heisenberg group ⋮ Ostrowski type inequalities on \(H\)-type groups ⋮ Ostrowski type inequalities related to the generalized Baouendi-Grushin vector fields ⋮ Nonlinear nonhomogeneous Neumann problem on the Heisenberg group ⋮ Perturbation of Yamabe equation on Iwasawa \(N\) groups in presence of symmetry ⋮ Existence results to a Leray-Lions type problem on the Heisenberg Lie groups ⋮ A study of comparison, existence and regularity of viscosity and weak solutions for quasilinear equations in the Heisenberg group ⋮ On the p-pseudoharmonic map heat flow ⋮ Sharp Poincaré inequalities under Measure Contraction Property ⋮ Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications

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