Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities
Ablanvi Songo
公開日: 2025/9/26
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}.