29 citations · 53 across the 9 of their papers we have counts for
10 papers
Schrodinger-Kirchhoff-Poisson type systems
Cyril J. Batkam, Joao R. Santos Junior
In this article we study the existence of solutions to the system \begin{equation*}\left\{ \begin{array}{ll} -\left(a+b\int_Ω|\nabla u|^{2}\right)Δu +ϕu= f(x, u) &\text{in }Ω\hbox{…
High energy sign-changing solutions to Schrödinger-Poisson type systems
Cyril Joel Batkam
We prove the existence of infinitely many high energy sign-changing solutions for some classes of Schrodinger-Poisson systems in bounded domains, with nonlinearities having subcrit…
Multiple sign-changing solutions to a class of Kirchhoff type problems
Cyril Joel Batkam
This paper is concerned with the existence of sign-changing solutions to non local Kirchhoff type problems of the form \begin{equation}\label{s}\tag{S} -\Big(a+b\int_Ω|\nabla u|^2d…
On differential systems with strongly indefinite variational structure
Cyril J. Batkam, Fabrice Colin, Tomasz Kaczynski
We obtain multiplicity results for a class of first-order superquadratic Hamiltonian systems and a class of indefinite superquadratic elliptic systems which lead to the study of st…
Ground state solution of a nonlocal boundary-value problem
Cyril Joel Batkam
In this paper, we apply the method of the Nehari manifold to study the Kirchhoff type equation \begin{equation*} -\Big(a+b\int_Ω|\nabla u|^2dx\Big)Δu=f(x,u) \end{equation*} submitt…
On a superquadratic elliptic system with strongly indefinite structure
Cyril J. Batkam
In this paper, we consider the elliptic system \begin{equation*} \left\{\begin{array}{ll} -Δu=g(x,v)\,\, \textnormal{in}Ω, & \hbox{} -Δv=f(x,u)\,\,\textnormal{in}Ω, & \hbox{} u=v=0…
Homoclinic orbits of first-order superquadratic Hamiltonian systems
Cyril J. Batkam
In this article, we study the existence of homoclinic orbits for the first-order Hamiltonian system {equation*} J\dot{u}(t)+\nabla H(t,u(t))=0,\quad t\in\mathbb{R}. {equation*} Und…
Generalized fountain theorem and application to strongly indefinite semilinear problems
Cyril J. Batkam, Fabrice Colin
By using the degree theory and the topology of Kryszewski and Szulkin, we establish a version of the Fountain Theorem for strongly indefinite functionals. The abstract result w…
Radial and nonradial solutions of a strongly indefinite elliptic system on
Cyril Joël Batkam
This paper is concerned with the following system of elliptic equations {equation*} \{{array}{ll} -Δu+u= F_u(|x|,u,v), & \hbox{} -Δv+v=- F_v(|x|,u,v), & \hbox{} \,\,\,\,\,u,v\in H^…
Ground state solution of a noncooperative elliptic system
Cyril Joel Batkam
In this paper, we study the existence of a ground state solution, that is, a non trivial solution with least energy, of a noncooperative semilinear elliptic system on a bounded dom…