摘要
本文得出了一类带临界指数的 Emden-Fowler 方程的解有 j 个零点的结果,并且研究了其零点的性态。利用所得结果,研究了一类临界指数的半线性椭圆型方程并且给出了其具有 j 个节点的径向解存在的充要条件。
This paper obtains the result of the solution of a sort of Emden-Fowler equations involving critical exponents which has j zeros,and studies the behaviour of the zeros(j=1,2,……).using the result obtained,it also studies a semilinear elliptic equation involving critical exponents,and gives neessary and sufficient condition for its radial solution inrolving j nodes.
关键词
临界指数
E-F方程
椭圆型方程
critical exponent
emden-fowler equation
semilinear elliptic equation
