The strong \(L^p\)-closure of vector fields with finitely many integer singularities on \(B^3\)

DOI10.1016/j.jfa.2021.109095zbMath1475.58033arXiv2009.01050OpenAlexW3082101087MaRDI QIDQ2039833

Riccardo Caniato

Publication date: 5 July 2021

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

Full work available at URL: https://arxiv.org/abs/2009.01050

zbMATH Keywords

connection of singularitiesstrong \(L^p\)-closure of smooth vector fields with finitely many integer point singularitiesweak divergence free vector fields

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Algebraic and analytic properties of mappings on manifolds (58K20)

Cites Work

• Weak closure of singular Abelian \(L ^{p }\)-bundles in 3 dimensions
• Functional analysis, Sobolev spaces and partial differential equations
• Harmonic maps with defects
• Density of smooth functions between two manifolds in Sobolev spaces
• Hodge decomposition. A method for solving boundary value problems
• The resolution of the Yang-Mills plateau problem in super-critical dimensions
• Sets of Finite Perimeter and Geometric Variational Problems
• Lectures on Elliptic Partial Differential Equations
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