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UNIQUENESS AND ITERATIVE METHOD OF POSITIVE RADIALLY SYMMETRIC SOLUTIONS FOR SINGULAR ELLIPTIC EQUATIONS

UNIQUENESS AND ITERATIVE METHOD OF POSITIVE RADIALLY SYMMETRIC SOLUTIONS FOR SINGULAR ELLIPTIC EQUATIONS
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摘要 This paper deals with the uniqueness and iterative method or positive radially symmetric solutions of a nonlinear problem △u + F(|x|,u) = 0, xεΩ under boundary condition u /Γ = 0. Where Ω is open unit ball in RN and Γ is its boundary. The function f is assumed to be decreasing and singular in the second variable, with the singularity modeled after the special case f(x,y) = α(x)y-α1, 0<α1<1. This paper deals with the uniqueness and iterative method or positive radially symmetric solutions of a nonlinear problem △u + F(|x|,u) = 0, xεΩ under boundary condition u /Γ = 0. Where Ω is open unit ball in RN and Γ is its boundary. The function f is assumed to be decreasing and singular in the second variable, with the singularity modeled after the special case f(x,y) = α(x)y-α1, 0<α1<1.
作者 赵增勤
出处 《Annals of Differential Equations》 1994年第2期245-253,共9页 微分方程年刊(英文版)
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