Multiplicity of Solutions for Fractional Hamiltonian Systems with Liouville-Weyl Fractional Derivatives
Keyword(s):
AbstractIn this paper, we investigate the existence of infinitely many solutions for the following fractional Hamiltonian systems:tDu ∈ Hwhere α ∈ (1/2, 1), t ∈ ℝ, u ∈ ℝm({t ∈ (y − rare satisfied and W is of subquadratic growth as |u| → +∞, we show that (0.1) possesses infinitely many solutions via the genus properties in the critical theory. Recent results in Z. Zhang and R. Yuan [24] are significantly improved.
2015 ◽
Vol 4
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pp. 59-72
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2020 ◽
Vol 08
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pp. 1472-1486
2020 ◽
Vol 43
(6)
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pp. 3897-3922
2017 ◽
Vol 102
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pp. 254-263
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2015 ◽
Vol 39
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pp. 1005-1019
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Infinitely many solutions for a class of fractional Hamiltonian systems with combined nonlinearities
2017 ◽
Vol 9
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pp. 289-312
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