%0 Journal Article
%T 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
%A 孙爱群
%J Pure Mathematics
%P 562-573
%@ 2160-7605
%D 2021
%I Hans Publishing
%R 10.12677/PM.2021.114069
%X
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.
%K 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
%K Nehari Manifold Method
%K Fibering Maps
%K Minimizing Method
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=41774