paper

On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in

arXiv:2509.16059

Abstract

In this work, we establish a continuous version of the Fountain theorem by using the framework of the weak slope for continuous functionals, which generalizes Theorem 3.6 of Willem \cite{Wi}. Then we present an application to a semilinear problem.

On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in $\mathbb{R}^2$ · wovepaper