On the existence of connecting orbits for critical values of the energy
| Autor: | Fusco, Giorgio, Gronchi, Giovanni F., Novaga, Matteo |
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| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider an open connected set $\Omega$ and a smooth potential $U$ which is positive in $\Omega$ and vanishes on $\partial\Omega$. We study the existence of orbits of the mechanical system \[ \ddot{u}=U_x(u), \] that connect different components of $\partial\Omega$ and lie on the zero level of the energy. We allow that $\partial\Omega$ contains a finite number of critical points of $U$. The case of symmetric potential is also considered. Comment: 20 pages, 4 figures |
| Databáze: | arXiv |
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