EXISTENCE OF POSITIVE SOLUTIONS FOR HIGHER ORDER SINGULAR SUBLINEAR ELLIPTIC EQUATIONS

被引：0

作者：

Bachar, Imed ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

关键词：

Green function; higher-order elliptic equations; positive solution; Schauder fixed point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present existence result for the polyharmonic nonlinear problem (-Delta)(pm)u = phi(., u) + psi(., u), in B u > 0, in B lim(vertical bar x vertical bar -> 1)(-Delta)(jm)u(x)/(1 - vertical bar x vertical bar)(m-1) = 0, 0 <= j <= p - 1, in the sense of distributions. Here m, p are positive integers, B is the unit ball in Rn(n >= 2) and the nonlinearity is a sum of a singular and sublinear terms satisfying some appropriate conditions related to a polyharmonic Kato class of functions J(m,n)((p)).

引用

页数：9

共 14 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].