Weak closure of Singular Abelian Lᵖ-bundles in 3 dimensions
Petrache, Mircea · Rivière, Tristan
Analysis of PDEs
Differential Geometry
Functional Analysis
58E15, 49Q20 (primary) 35D30, 35J20, 53C65, 49Q15 (secondary)
الأصل · EN
We prove the closure for the sequential weak Lᵖ-topology of the class of vectorfields on B³ having integer flux through almost every sphere. We show how this problem is connected to the study of the minimization problem for the Yang-Mills functional in dimension higher than critical, in the abelian case.
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