English

On a version of hybrid existence result for a system of nonlinear equations

Analysis of PDEs 2023-08-16 v1

Abstract

Combining monotonicity theory related to the parametric version of the Browder-Minty Theorem with fixed point arguments we obtain hybrid existence results for a system of two operator equations. Applications are given to a system of boundary value problems with mixed nonlocal and Dirichlet conditions.

Keywords

Cite

@article{arxiv.2308.07385,
  title  = {On a version of hybrid existence result for a system of nonlinear equations},
  author = {Michał Bełdziński and Marek Galewski and Igor Kossowski},
  journal= {arXiv preprint arXiv:2308.07385},
  year   = {2023}
}