Existence of homoclinic orbits for unbounded time-dependent $p$-Laplacian systems

In this paper, we consider the following ordinary $p$-Laplacian system \begin{equation} \frac{d}{dt}\big(|\dot u(t)|^{p-2}\dot u(t)\big)-\nabla K(t,u(t)) + \nabla W(t,u(t))=f(t),\tag{$HS$} \end{equation} where $t\in \mathbb{R}$ and $ p>1$. Using the Mountain Pass Theorem, we establish the existen...

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Author:	Adel Daouas
Format:	Article
Language:	English
Published:	University of Szeged 2016-09-01
Subjects:	homoclinic solutions hamiltonian systems mountain pass theorem $p$-laplacian systems
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4822