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Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schrödinger Equations
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نویسنده
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du x. ,mao a.
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منبع
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journal of function spaces - 2017 - دوره : 2017 - شماره : 0
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چکیده
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This paper is concerned with the existence of solutions to the following fractional schrödinger type equations: (-δ)su + v(x)u = f(x,u),x ∈ rn,where the primitive of the nonlinearity f is of superquadratic growth near infinity in u and the potential v is allowed to be sign-changing. by using variant fountain theorems,a sufficient condition is obtained for the existence of infinitely many nontrivial high energy solutions. © 2017 xinsheng du and anmin mao.
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آدرس
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school of mathematical sciences,qufu normal university,qufu,shandong, China, school of mathematical sciences,qufu normal university,qufu,shandong, China
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Authors
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