Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method

YuChen; XianWu

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Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method

机译：一类拟线性对偶薛定ö方程的非平凡解和高能解的存在性

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We study the quasilinear Schrödinger equation of the form−Δu+Vxu−Δu2u=hx,u,x∈RN. Under appropriate assumptions onVxandhx,u, existence results of nontrivial solutions and high energy solutions are obtained by the dual-perturbation method.

机译：我们研究形式为-Δu+Vxu-Δu2u= hx，u，x∈RN的拟线性Schrödinger方程。在Vxandhx，u的适当假设下，通过双扰动方法获得了非平凡解和高能解的存在结果。

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《Abstract and applied analysis》 |2013年第6期|共13页
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YuChen; XianWu;
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中图分类数学分析;
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Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method

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