Some embedding theorems for \(W^{1,p}(\Omega, \mathbf H^n)\)

DOI10.1007/S11766-010-2156-6zbMath1224.58017OpenAlexW2367563445MaRDI QIDQ622485

Gao Jia, Guoqing Zhang

Publication date: 5 February 2011

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-010-2156-6

zbMATH Keywords

Heisenberg groupembedding theoremHölder continuity

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Variational problems in infinite-dimensional spaces (58E99) Analysis on other specific Lie groups (43A80)

Cites Work

• Unnamed Item
• Geometric conditions and existence of bi-Lipschitz parameterizations
• Some new properties on \(L^p(\Omega,H^n)\)
• Weakly Differentiable Functions
• Legendrian energy minimizers. I: Heisenberg group target

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