On the existence of heteroclinic trajectories for asymptotically autonomous equations
KeywordsHeteroclinic, double-well potential, minimax
AbstractBy means of a minimax argument, we prove the existence of at least one heteroclinic solution to a scalar equation of the kind $\ddot x=a(t)V'(x)$, where $V$ is a double well potential, $0< l\le a(t)\le L$, $a(t)\to l$ as $|t|\to\infty$ and the ratio $L/l$ is suitably bounded from above.
How to Cite
GAVIOLI, Andrea. On the existence of heteroclinic trajectories for asymptotically autonomous equations. Topological Methods in Nonlinear Analysis [online]. 1 December 2009, T. 34, nr 2, s. 251–266. [accessed 3.2.2023].
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