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

作　　者：孙爱群 

机构地区：[1]上海理工大学理学院,上海

出　　处：《理论数学》2021年第4期562-573,共12页Pure Mathematics

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。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.

关 键 词：拟线性椭圆型方程 Nehari流形方法 纤维映射 极小化方法 

分 类 号：O17[理学—数学]