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拟线性Schrödinger-Poisson方程正解、负解、变号解的存在性
Existence of Signed and Sign-changing Solutions for Quasilinear Schrödinger-Poisson System
本文考虑拟线性Schrödinger-Poisson方程
其中f是一个C1超线性且次临界的非线性项，V是正的有界位势.利用扰动方法，我们证明了该方程非平凡解、正解、负解、变号解的存在性.
We consider the following quasilinear Schrödinger-Poisson system
where f is C1, superlinear and subcritical nonlinearity, V is bounded positive potential. By using the method of perturbation, we prove the system has non-trivial solutions, positive solutions, negative solutions and sign-changing solutions.
拟线性Schrödinger-Poisson方程 / 变号解 / 扰动方法 {{custom_keyword}} /
Schrödinger-Poisson system / sign-changing solutions / the method of perturbation {{custom_keyword}} /
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云南省地方本科高校（部分）基础研究联合专项；红河学院科研基金博士专项项目（XJ17B11）
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