Fulltext

An integrability result for Lp-vector fields in the plane

Petrache, Mircea

In: Advances in Calculus of Variations, 2013, vol. 6, no. 3, p. 299-319

Add to personal list
    Title
    • An integrability result for Lp-vector fields in the plane
    Author
    • Petrache, Mircea. Departement Mathematik, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Advances in Calculus of Variations, 2013, vol. 6, no. 3, p. 299-319. Walter de Gruyter GmbH
    Other Version
    OAI-PMH Identifier
    • oai:doc.rero.ch:304671
    Summary
    We prove that if , then the divergence of an Lp-vector field V on a 2-dimensional domain is the boundary of an integral 1-current if and only if V can be represented as the rotated gradient for a W1,p-map . Such a result extends to exponents the result on distributional Jacobians of Alberti, Baldo, Orlandi (2003)