一类奇异非线性双调和方程的正整解  

The Positive Entire Solutions of Class of Singular Nonlinear Biharmonic Equations

作　　者：许兴业[1] 

机构地区：[1]广东教育学院数学系,广州510303

出　　处：《数学物理学报（A辑）》1998年第S1期167-173,共7页Acta Mathematica Scientia

摘　　要：该文建立了一类R^2上奇异非线性双调和方程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,丰富和发展了文[1]」,[2]的理论和应用.In this paper,author's aim is singular to establish the theorems of exsitence of posi-tive radial symmetry entire solutions of a class of nonlinear biharmonic equations on R^2 and pre-sents about the properties of the solutions. It enrichs and develops the theory and apply of pa-per [1] and [2].

关 键 词：双调和方程 正整解 闭凸子集 相对紧 等度连续 

分 类 号：O241[理学—计算数学]