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Existence of non-trivial solutions for fractional Schrödinger-Poisson systems with subcritical growth
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نویسنده
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keyhanfar a. ,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:13 -23
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چکیده
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In this paper, we are concerned with the following fractional schrödinger-poisson system: { (−δs)u + u + λϕ u = μf(u) + |u|p−2|u|, x ∈ r^3 (−δt) ϕ = u^2, x ∈ r^3 where λ, μ are two parameters, s, t ∈ (0; 1] ,2t + 4s > 3 ,1 < p ≤ 2∗s and f : r → r is continuous function. using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with the help of the variational methods.
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کلیدواژه
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Fractional Schrödinger-Poisson systems ,Sublinear nonlinearity ,Variational methods
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آدرس
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university of mazandaran, faculty of mathematical sciences, department of mathematics, Iran, babol(noshirvani) university of technology, faculty of basisc 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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