Extensions for Sobolev mappings between manifolds

DOI10.1007/BF01187897zbMath0846.46021MaRDI QIDQ1902317

Fabrice Bethuel, Francoise Demengel

Publication date: 20 November 1995

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

compact Riemannian manifoldsextension problem in the Sobolev class

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Extension of maps (54C20)

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Cites Work

• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Boundary regularity and the Dirichlet problem for harmonic maps
• Density of smooth functions between two manifolds in Sobolev spaces
• The approximation problem for Sobolev maps between two manifolds
• Mappings minimizing theLp norm of the gradient
• Unnamed Item