Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612713 | Journal of Differential Equations | 2006 | 20 Pages |
Abstract
If the Aubry set satisfies some topological hypothesis, such as H1(M×T,A(c),R)≠0, then the α-function has a flat. In this paper, we will prove that has infinitely many -minimal homoclinic orbits when c′ is on the boundary of the maximal flat of the α-function. These homoclinic orbits are different from the usually called multi-bump solutions.
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