摘要
本文研究当n≥3时,半线性椭园型方程——△u—f(|X|,u)在环域Ω—{x∈R^n|0<r_1<|x|<r_2}上满足三类不同边值条件的边值问题。文中,利用作者在[1]中提供的计算全连续锥映象的不动点指数公式,并结合其他一些已知的不动点指数计算公式,证明了这三种边值问题的径向正解的几个存在唯一性定理及若干多解结果。
The present paper is concerned with three boundary value problems satisfying three different boundary value conditions on the anuulus Ω={x∈R^n|0<r_1<|x|<r_2} for the semilinear elliptic equation-△u=f(|x|,u) in the case n≥3. It is proved that these problems have a some of existence theorems that con proved using computation formulas of the fixed point index in [1] and others.
出处
《贵州大学学报（自然科学版）》
1991年第3期153-161,共9页
Journal of Guizhou University:Natural Sciences
关键词
半线性
椭圆型方程
边值问题
Semilinear elliptic equation, Boundary value problem, Fixed point inder, Spectral radius, Positive rodial solution.
