Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities
Analysis of PDEs
2025-09-30 v1
Abstract
We establish the existence of at least one solution to a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities, without imposing the Ambrosetti-Rabinowitz condition or any of its refinements. The proof relies on a generalized saddle point theorem due to Colin and the author \cite{CS}.
Keywords
Cite
@article{arxiv.2509.22899,
title = {Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities},
author = {Ablanvi Songo},
journal= {arXiv preprint arXiv:2509.22899},
year = {2025}
}