R^2上带奇异性的非线性多重调和方程的正整解  

The Positive Entire Solutions for a Class Nonlinear Polyharmonic Equations with Singular on R^2

作　　者：许兴业[1] 

机构地区：[1]广东教育学院数学系,广州510310

出　　处：《数学物理学报（A辑）》2003年第2期175-182,共8页Acta Mathematica Scientia

基　　金：广东高校自然科学研究基金资助

摘　　要：该文以 Schauder- Tychonoff不动点定理为工具 ,建立了一类平面上带奇异性的非线性多重调和方程的正的径向对称整体解的存在性定理 ,并给出了解的有关性质 ,所得的结果丰富和发展文 [1 -In this paper, author's aim is to establish the theorems of existence of positive radially symmetric entire solutions for a class singular nonlinear polyharmonic on \$R\+2\$ with the Schauder tychonoff fixed point theorem as the principal ,and presents about the properties of the solutions. It enrichs and develops the theory and apply of paper .

关 键 词：多重调和方程 正整解 Schauder-Tychonoff不动点定理 奇异性 径向对称整体解 存在性 LEBESGUE控制收敛定理 

分 类 号：O175.29[理学—数学]