单位球上含梯度项的椭圆边值问题的正径向解

Positive radial solutions for the elliptic boundary value problem with gradient terms on the unit ball

摘要:

本文考虑了一类单位球上含梯度项的椭圆边值问题正径向解的存在性, 应用Leray-Schauder不动点定理获得了该问题正径向解的存在性结果.

Abstract:

We consider the existence of positive radial solutions to a class of elliptic boundary value problem with gradient term. The existence of positive radial solutions is obtained by using the Leray-Schauder fixed point theorem.