%0 Journal Article %T 带有加权Hardy-Sobolev临界指数的拟线性椭圆方程正解的存在性和多重性<br>Existence and Multiplicity of Positive Solutions for a Quasilinear Elliptic Equation with Weighted Hardy-Sobolev Exponents %A 朱玉 %A 商彦英< %A br> %A ZHU Yu %A SHANG Yan-ying %J 西南大学学报(自然科学版) %D 2018 %R 10.13718/j.cnki.xdzk.2018.02.010 %X 研究了一类加权拟线性椭圆方程,利用Ekeland变分原理和强极大值原理,证明了该方程正解的存在性和多重性.<br>We investigate a quasilinear elliptic equation with weighted Hardy-Sobolev exponents and, by means of Ekeland's variational principle and strong maximum principle, prove the existence and multiplicity of its positive solutions under different conditions %K 正解 %K 加权Hardy-Sobolev临界指数 %K Ekeland变分原理 %K 强极大值原理< %K br> %K positive solution %K weighted Hardy-Sobolev critical exponent %K Ekeland's variational principle %K strong maximum principle %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/2/201802010.htm