4 papers
An infinite-dimensional mountain pass theorem with applications to nonlinear elliptic systems
Ablanvi Songo, Fabrice Colin
The purpose of this paper is to establish a critical point theorem, which is an infinite-dimensional generalization of the classical generalized Mountain Pass Theorem of P. H. Rabi…
On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in
Ablanvi Songo, Fabrice Colin
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…
A new infinite-dimensional Linking theorem with application to a system of coupled Poisson equations
Ablanvi Songo, Fabrice Colin
Using the minimax technique from the critical point theory, which consists in constructing or transforming a suitable class of applications such that a critical value of a func…
An infinite dimensional saddle point theorem and application
Fabrice Colin, Ablanvi Songo
By using the -topology of Kryszewski and Szulkin, we establish a natural new version of the Saddle Theorem for strongly indefinite functionals. The abstract result will be appli…