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Existence of homoclinic orbits for a class ofp-Laplacian systems in a weighted Sobolev space

✍ Scribed by Xiubo Shi, Qiongfen Zhang, Qi-Ming Zhang

Book ID
120733856
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
259 KB
Volume
2013
Category
Article
ISSN
1687-2762

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A New Proof of the Existence of Homoclin
A New Proof of the Existence of Homoclinic Orbits for a Class of Autonomous Second Order Hamiltonian Systems in IR.N
✍ Paolo Caldiroli πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 356 KB πŸ‘ 1 views

## Abstract We consider the Hamiltonian system in IR^__N__^ given by where __V__ : IR^__N__^ rarr; IR is a smooth potential having a non degenerate local maximum at 0 and we assume that there is an open bounded neighborhood ft of 0 such that V(__x__) < __V__(0) for __x__ Ξ΄ Ξ© / {0}, __V(x)__ = __V