Closure of smooth maps in \(W^{1,p}(B^3;S^2)\)

zbMath1240.46063arXiv0901.4491MaRDI QIDQ637035

Jean Van Schaftingen, Augusto C. Ponce

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4491

zbMATH Keywords

density of smooth functionsSobolev spaces on manifolds

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Distributions and generalized functions on nonlinear spaces (46T30) Manifolds of mappings (58D15)

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The relaxed area of 𝕊¹-valued singular maps in the strict BV-convergence ⋮ Asymptotic behavior of minimizing \(p\)-harmonic maps when \(p \nearrow 2\) in dimension 2 ⋮ Density of smooth maps in \(W^{k,p}(M, N)\) for a close to critical domain dimension ⋮ A brief history of the Jacobian ⋮ Estimates for the topological degree and related topics ⋮ Prescribing the Jacobian in critical spaces ⋮ Weak notions of Jacobian determinant and relaxation

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