一类非齐次临界椭圆方程在RN中的正解  

Positive Solutions for An Inhomogeneous Singular Elliptic Equation with Critical Exponent in R^N

作　　者：谢华朝[1] 李素丽[1] 

机构地区：[1]河南财经政法大学数学与信息科学系郑州450002

出　　处：《数学物理学报（A辑）》2013年第6期1099-1111,共13页Acta Mathematica Scientia

基　　金：河南省自然科学基金(12B110002)资助

摘　　要：研究了一类带奇异项的非齐次半线性椭圆方程.利用变分方法,该文讨论了其正解的存在性和不存在性,以及解的唯一性和多解性.A semilinear elliptic problem with singular coefficient and inhomogeneous term is mainly studied. The existence and nonexistence of solutions for the inhomogeneous elliptic equation are proved by variational methods and analytic technique. Meanwhile, multiplicity and uniqueness of solutions are also investigated.

关 键 词：非齐次椭圆方程 临界指数 Hardy项 正解 

分 类 号：O175.23[理学—数学]