Solvability of abstract semilinear equations by a global diffeomorphism theorem
Classical Analysis and ODEs
2017-12-12 v1
Abstract
In this work we proivied a new simpler proof of the global diffeomorphism theorem from [9] which we further apply to consider unique solvability of some abstract semilinear equations. Applications to the second order Dirichlet problem driven by the Laplace operator are given.
Cite
@article{arxiv.1712.03493,
title = {Solvability of abstract semilinear equations by a global diffeomorphism theorem},
author = {Michal Beldzinski and Marek Galewski and Robert Steglinski},
journal= {arXiv preprint arXiv:1712.03493},
year = {2017}
}