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On a Class of Nonlinear Fractional Schrödinger-Poisson Systems
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نویسنده
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soluki m. ,rasouli s.h. ,afrouzi g.a.
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منبع
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international journal of nonlinear analysis and applications - 2019 - دوره : 10 - شماره : Special Issue - صفحه:123 -132
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چکیده
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In this paper, we are concerned with the following fractional schrödinger-poisson system: { (−δs)u + v (x)u + ϕ u = m(x)|u|q−2|u| + f(x, u); x ∈ ω, (−δt) ϕ = u2, x ∈ ω, u = ϕ = 0, x ∈ @ω, where s, t ∈ (0; 1], 2t + 4s > 3, 1 < q < 2 and ω is a bounded smooth domain of r^3, and f(x, u) is linearly bounded in u at infinity. under some assumptions on m, v and f we obtain the existence of non-trivial solutions with the help of the variational methods.
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کلیدواژه
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Fractional Schrödinger-Poisson systems ,Non-trivial solutions ,Variational methods
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آدرس
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university of mazandaran, faculty of mathematical sciences, department of mathematics, Iran, babol (noushirvani) university of technology, faculty of basic sciences, department of mathematics, Iran, university of mazandaran, faculty of mathematical sciences, department of mathematics, Iran
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Authors
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