椭圆系统的正解(英文)

Positive Solutions of Elliptic Systems

本文主要研究在一些假设条件下拟线性方程组div(|▽ui|pi-2▽ui)+λki(|x|).fi(u1,…,un)=0,pi>1,i=1,…,n在环状区域径向正解的存在性及多重性.我们主要应用锥内的不动点定理.

In this paper, we study the existence, multiplicity and nonexistence of positive radial so- lutions to boundary value problems for the system of quasilinear equations：div（｜ui｜pi-2 ui）＋λκi（｜x｜）·f^i（u1,…,un）=0,P1〉1,i=1,…,n, in annular domains under general assumptions. Our methods employ fixed point theorems in a cone.