29 citations · 53 across the 9 of their papers we have counts for
4 papers · 1 filter
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…