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- W2783188290 abstract "In this paper, we consider a class of Hamiltonian systems of the form <sub><i>t</i></sub><i>D</i><sub>∞</sub><sup><i>α</i></sup> (-<sub>∞</sub><i>D</i><sub><i>t</i></sub><i>α</i></sup><i>u</i>(<i>t</i>)) + <i>L</i>(<i>t</i>)<i>u</i>(<i>t</i>) -∇<i>W</i> (<i>t</i>,<i>u</i>(<i>t</i>))=0 where <i>α</i> ∈ (1/2,1), -<sub>∞</sub>D<sub><i>t</i></sub><sup><i>α</i></sup> and <sub><i>t</i></sub>D<sub>∞</sub><sup><i>α</i></sup> are left and right Liouville-Weyl fractional derivatives of order <i>α</i> on the whole axis <i>R</i> respectively. Under weaker superquadratic conditions on the nonlinearity and asymptotically periodic assumptions, ground state solution is obtained by mainly using Local Mountain Pass Theorem, ConcentrationCompactness Principle and a new form of Lions Lemma respect to fractional differential equations." @default.
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- W2783188290 date "2018-01-01" @default.
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- W2783188290 title "GROUND STATE SOLUTION FOR A CLASS FRACTIONAL HAMILTONIAN SYSTEMS" @default.
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- W2783188290 doi "https://doi.org/10.11948/2018.620" @default.
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