Some new properties of Sobolev mappings: intersection theoretical approach

DOI10.1017/S0308210500023660zbMath0899.46021MaRDI QIDQ4337371

Takeshi Isobe

Publication date: 3 November 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

energy gap phenomenonfunctionals defined in Sobolev spacesSobolev maps which can be approximated by smooth maps

Mathematics Subject Classification ID

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

Related Items (3)

On global singularities of Sobolev mappings ⋮ Unnamed Item ⋮ Obstruction theory for the approximation and the deformation problems for Sobolev mappings

Cites Work

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• Boundary regularity and the Dirichlet problem for harmonic maps
• A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
• Density of smooth functions between two manifolds in Sobolev spaces
• The Dirichlet integral for mappings between manifolds: Cartesian currents and homology
• A remark on \(H^ 1\) mappings
• Energy gap phenomenon and the existence of infinitely many weakly harmonic maps for the Dirichlet problem
• Characterization of the strong closure of \(C^ \infty(B^ 4;S^ 2)\) in \(W^{1,p}(B^ 4;S^ 2)\) (\({16\over 5}\leq p < 4\))
• The gap phenomenon for variational integrals in Sobolev spaces
• Differential Topology

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