Homoclinic solutions for subquadratic Hamiltonian systems with competition potentials

Homoclinic solutions for subquadratic Hamiltonian systems with competition potentials

In this paper, we consider of the following second-order Hamiltonian system \begin{equation*} \ddot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0,\qquad \forall t \in \mathbb{R}, \end{equation*} where $W(t,x)$ is subquadratic at infinity. With a competition condition, we establish the existence of homoclinic s...

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Bibliographic Details
Main Authors: Ruiqi Liu, Dong-Lun Wu, Jia-Feng Liao
Format: Article
Language:English
Published: University of Szeged 2024-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
hamiltonian systems
homoclinic solutions
subquadratic potentials
competition condition
variational methods
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=10529
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