The Neumann problem for Sub-Laplacians on Carnot groups and the extension theorem for Sobolev spaces

DOI10.1007/S10231-001-8195-0zbMath1052.46026OpenAlexW2017797845MaRDI QIDQ1878640

Duy-Minh Nhieu

Publication date: 7 September 2004

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-001-8195-0

zbMATH Keywords

Sobolev spacetracecompact embeddingNeumann problemextension theoremCarnot groups\((\varepsilon,\delta)\) domain

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Subelliptic equations (35H20)

Related Items (7)

Hardy spaces and quasiconformal maps in the Heisenberg group ⋮ The Neumann problem on the domain in \(\mathbb{S}^3\) bounded by the Clifford torus ⋮ Existence and uniqueness of variational solution to the Neumann problem for the \(p\)th sub-Laplacian associated to a system of Hörmander vector fields ⋮ Measure density and extendability of Sobolev functions ⋮ Neumann problem for \(p\)-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity ⋮ Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications ⋮ \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups

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