arXiv Analytics

Sign in

arXiv:1906.00902 [math.AP]AbstractReferencesReviewsResources

Globally diffeomorphic $σ$--harmonic mappings

Giovanni Alessandrini, Vincenzo Nesi

Published 2019-06-03Version 1

Given a two--dimensional mapping $U$ whose components solve a divergence structure elliptic equation, we give necessary and sufficient conditions on the boundary so that $U$ is a global diffeomorphism.

Related articles: Most relevant | Search more
arXiv:1810.03003 [math.AP] (Published 2018-10-06)
Locally invertible $σ$-harmonic mappings
arXiv:1412.4248 [math.AP] (Published 2014-12-13)
Estimates for the dilatation of $σ$-harmonic mappings
arXiv:1501.03005 [math.AP] (Published 2015-01-13)
Quantitative estimates on Jacobians for hybrid inverse problems