A local surjection theorem with continuous inverse in Banach spaces
Functional Analysis
2024-08-09 v2
Abstract
In this paper we prove a local surjection theorem with continuous right-inverse for maps between Banach spaces, and we apply it to a class of inversion problems with loss of derivatives.
Cite
@article{arxiv.2309.16906,
title = {A local surjection theorem with continuous inverse in Banach spaces},
author = {Ivar Ekeland and Éric Séré},
journal= {arXiv preprint arXiv:2309.16906},
year = {2024}
}
Comments
Dedicated to the memory of Antonio Ambrosetti. To appear in Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl