%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