Multiplicity of solutions for a class of semilinear Schrödinger equations with sign-changing potential |
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| Authors: | Qingye Zhang Bin Xu |
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| Institution: | a Department of Mathematics, Jiangxi Normal University, Nanchang 330022, PR China
b Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu 221116, PR China |
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| Abstract: | In this paper, we study the existence of infinitely many nontrivial solutions for a class of semilinear Schrödinger equations −Δu+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. |
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| Keywords: | Schrö dinger equation Superquadratic Sign-changing potential |
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