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Interior partial regularity for minimal $L^p$-vector fields with integer fluxes

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Publication:2792156
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DOI10.2422/2036-2145.201207_003zbMath1348.58006arXiv1204.0209OpenAlexW2963775024MaRDI QIDQ2792156

Mircea Petrache

Publication date: 8 March 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0209


zbMATH Keywords

partial regularityinteger fluxweak bundleweak connection


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integral geometry (53C65) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)


Related Items (3)

Sobolev bundles with Abelian structure groups ⋮ A singular radial connection over \(\mathbb B^5\) minimizing the Yang-Mills energy ⋮ The resolution of the Yang-Mills plateau problem in super-critical dimensions




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