一类带有奇异非线性项的椭圆方程解的结构  

Structure of Solutions of a Class of Elliptic Problem with Singular Nonlinearity

作　　者：白雪飞[1] 于晓娜[1] 

机构地区：[1]东华大学理学院,上海200051

出　　处：《江西科学》2008年第1期71-75,96,共6页Jiangxi Science

摘　　要：研究了一类带有奇异非线性项的椭圆型方程在N(N≥2)维单位球B上解的结构。主要讨论了参数在某一特定范围取值时,方程球对称解的唯一性,并最终得到此唯一解即为方程的最小解。主要运用单调公式得到结论的证明。The objective of this paper is to study the structure of solutions of a class of elliptic tunction with singular nonlinearity in B, B is the unit ball in RN（N≥2 ）. The main part of this paper investigate when the value of the parameter are in the given range, the equation has only one radial solution, then the only solution will be the minimal solution. The key ingredient is the use of monotonicity formula.

关 键 词：球对称解 奇异非线性项 半线性椭圆方程 

分 类 号：O175.29[理学—数学]