摘要
以 Schauder-Tychonoff不动点定理为工具,建立了一类R2上奇异非线性双调和方程正的径向对称整体解的存在定理,并给出了解的有关性质.
In the paper, our aim is to establish the theorems of existence of positive radial symmetric entire solutions for a class of nonlinear biharmonic equations in with the Schauder-Tychonoff fixed point theorem as the principal tool, presents about the proper-ties of the solutions.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2001年第1期138-144,共7页
Acta Mathematica Scientia
关键词
双调和方程
正整解
不动点定理
非线性
存在性
Biharmonic equation, Positive entire solution, Fixed point theorem, Relative compactness.