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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| Format: | Article |
| Language: | English |
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University of Szeged
2016-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4822 |