An integrability result for Lp-vector fields in the plane

DOI10.1515/ACV-2012-0102zbMath1275.35075arXiv1007.0681OpenAlexW2318365796MaRDI QIDQ2842997

Mircea Petrache

Publication date: 9 August 2013

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0681

zbMATH Keywords

distributional Jacobiantopological singularitiesSobolev maps between manifoldsvector fields with integer fluxes

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Linear first-order PDEs (35F05) Integral geometry (53C65) Implicit function theorems, Jacobians, transformations with several variables (26B10)

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