Globally diffeomorphic $\sigma$--harmonic mappings
Analysis of PDEs
2019-06-04 v1
Abstract
Given a two--dimensional mapping whose components solve a divergence structure elliptic equation, we give necessary and sufficient conditions on the boundary so that is a global diffeomorphism.
Cite
@article{arxiv.1906.00902,
title = {Globally diffeomorphic $\sigma$--harmonic mappings},
author = {Giovanni Alessandrini and Vincenzo Nesi},
journal= {arXiv preprint arXiv:1906.00902},
year = {2019}
}
Comments
11 pages, submitted