奇异非线性p-调和方程的一类正整体解  

POSITIVE ENTIRE SOLUTIONS TO SINGULAR, NONLINEAR p-HARMONIC EQUATIONS

作　　者：吴炯圻[1] 

机构地区：[1]漳州师范学院数学系,福建漳州363000

出　　处：《系统科学与数学》2005年第3期276-283,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10271056)资助课题

摘　　要：设p>1,β≥0是常数, n是自然数, 是一个连续函数.本文研究形如的奇异非线性p-调和方程的正整体解,给出了该类方程具有无穷多个其渐近阶刚好为|x|(2n-2)(当|x|→∞时)的径向对称的正整体解的若干充分条件.Abstract Suppose p>1, β≥0 are constants, n is a positive integer and f:R+×R+×R+→R is a continuous function. This paper investigates N-dimensional singular, nonlinear p-harmonic equations of the form and gives some sufficient conditions under which the equations have infinitely many radial positive entire solutions which are asymptotic to positive constant multiples of |x|(2n-2) as |x|→∞.

关 键 词：奇异非线性 正整体解 调和方程 连续函数 充分条件 径向对称 |X| 自然数 渐近阶 无穷多 常数 

分 类 号：O177.91[理学—数学]