Homoclinic orbits for a class of second-order Hamiltonian systems with concave-convex nonlinearities

In this paper, we study the existence of multiple homoclinic solutions for the following second order Hamiltonian systems \begin{equation*} \ddot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0, \end{equation*} where $L(t)$ satisfies a boundedness assumption which is different from the coercive condition and $W$...

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Authors:	Dong-Lun Wu, Chun-Lei Tang, Xing-Ping Wu
Format:	Article
Language:	English
Published:	University of Szeged 2018-02-01
Subjects:	multiple homoclinic solutions concave > convex nonlinearities second-order hamiltonian systems bounded potential variational methods
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6023