一类拟线性椭圆型方程正奇异解的存在性

Existence of Positive Singular Solutions for a Class of Quasilinear Elliptic Equations

该文得到了一类拟线性椭圆型方程在球域(Ω=BR={x∈RN:x<R})或在N维欧氏空间(Ω=B∞=RN,N≥3)上正对称奇异解的存在性定理.其中非线性项f∈C1(R)满足超临界增长性条件.

The existence of singluar positive radial solutions of quasilinear elliptic equations is considered in a finite ball （Ω=BR = {x ∈ R^N; ｜x｜ 〈 R}） or N-dimension Euclidean space （Ω = B∞ = R^N, N ≥ 3）. The nonlinear function f ∈ C^1 （R） has supercritical growth.