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含Φ-Laplace算子的拟线性椭圆型方程解的存在性
Existence of Solutions for Quasilinear Elliptic Equation with Φ-Laplacian Operator

DOI: 10.12677/PM.2021.114069, PP. 562-573

Keywords: 拟线性椭圆型方程，Nehari流形方法，纤维映射，极小化方法
Quasilinear Elliptic Equation, Nehari Manifold Method, Fibering Maps, Minimizing Method

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Abstract:

该文研究了全空间中一类含Φ-Laplace算子和位势项的拟线性椭圆型方程解的存在性，利用Nehari流形方法和纤维映射等技巧，得到方程至少有两个非平凡解。
The paper deals with the existence results of solutions to a quasilinear elliptic problem with Φ-Laplacian operator and potential well on ？N. Nehari manifold and fibering maps are used to obtain the existence two nontrivial solutions.

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