中北大学学报（自然科学版）2017，Vol.38Issue(6)：582-587,6.DOI:10.3969/j.issn.1673-3193.2017.06.005
一类临界拟线性椭圆型方程非平凡解的存在性
Existense of Nontrivial Solutions for a Class of Critical Quasilinear Elliptic Equations
摘要
Abstract
A class of quasilinear elliptic equation involving critical Sobolev exponent was studied,and their reduction forms arose from the mathematical model in fluid mechanics and plasma physics.Under some suitable assumptions on the potential function,the existence of their nontrivial solutions is proved through using the constrained minimizing methods and concentration-compactness at infinity.关键词
拟线性椭圆型方程/极小化序列/非平凡解Key words
quasilinear elliptic equations/minimizing sequence/nontrivial solutions分类
数理科学引用本文复制引用
杨晓枫,腾凯民..一类临界拟线性椭圆型方程非平凡解的存在性[J].中北大学学报（自然科学版）,2017,38(6):582-587,6.基金项目
山西省基础研究计划项目(2013021001-3) （2013021001-3）
