Two abstract methods of lower and upper solutions with applications
Functional Analysis
2025-12-08 v1
Abstract
In this paper, we present two abstract methods for constructing a lower and an upper solution for a fixed point equation. The first method applies when the nonlinear operator is a composition of a linear and a nonlinear mapping, while the second method applies when the nonlinear operator satisfies an inequality of Harnack type. An application is provided for each method.
Keywords
Cite
@article{arxiv.2512.05426,
title = {Two abstract methods of lower and upper solutions with applications},
author = {Andrei Stan},
journal= {arXiv preprint arXiv:2512.05426},
year = {2025}
}