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
摘要: 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。
Abstract: The paper deals with the existence results of solutions to a quasilinear elliptic problem with Φ-Laplacian operator and potential well on ℝN. Nehari manifold and fibering maps are used to obtain the existence two nontrivial solutions.
文章引用：孙爱群. 含Φ-Laplace算子的拟线性椭圆型方程解的存在性[J]. 理论数学, 2021, 11(4): 562-573. https://doi.org/10.12677/PM.2021.114069

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