Density in \(W^{s, p}(\operatorname{\Omega}; N)\)

DOI10.1016/j.jfa.2015.04.005OpenAlexW2076624085MaRDI QIDQ2517326

Petru Mironescu, Haim Brezis

Publication date: 17 August 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01801

zbMATH Keywords

densityfractional Sobolev spaceshomogeneous extensionsmanifold-valued maps

Mathematics Subject Classification ID

Real functions (26-XX) Partial differential equations (35-XX) Several complex variables and analytic spaces (32-XX)

Related Items (6)

Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Uniform boundedness principles for Sobolev maps into manifolds ⋮ Trace theory for Sobolev mappings into a manifold ⋮ Hölder-topology of the Heisenberg group ⋮ Radial extensions in fractional Sobolev spaces ⋮ Quantitative characterization of traces of Sobolev maps

Cites Work

• Unnamed Item
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• Strong approximation of fractional Sobolev maps
• A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
• Decomposition of \(\mathbb S^1\)-valued maps in Sobolev spaces
• Strong density results in trace spaces of maps between manifolds
• A regularity theory for harmonic maps
• Infima of energy functionals in homotopy classes of mappings
• Density of smooth functions between two manifolds in Sobolev spaces
• Stable defects of minimizers of constrained variational principles
• The approximation problem for Sobolev maps between two manifolds
• Removable sets for Sobolev spaces
• Lifting in Sobolev spaces
• Dense subsets of \(H^{1/2}(S^2,S^1)\)
• Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
• Singularities of positive supersolutions in elliptic PDEs
• Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
• Topology of Sobolev mappings. II.
• Degree theory of BMO. I: Compact manifolds without boundaries
• Strong density for higher order Sobolev spaces into compact manifolds
• Topological singularities in \(W^{S,P}(S^N,S^{1})\)
• Equivalent Norms for Sobolev Spaces
• Topology and Sobolev spaces

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