6 papers
Linking theorems for multivalued functionals and application to partial differential inclusions
Ablanvi Songo, Fabrice Colin
Using the framework of critical point theory for multivalued functionals developed in \cite{Fri}, we establish some linking theorems for such functionals, which generalizes \cite[T…
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…
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 appl…
Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities
Ablanvi Songo
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 Ambroset…
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…