ON QUALITATIVE PROPERTIES OF SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS WITH STRONG DEPENDENCE ON THE GRADIENT

被引：0

作者：

Kraljevic, Jadranka ^{[1
]}

机构：

[1] Univ Zagreb, Fac Econ, Dept Math, Zagreb 10000, Croatia

来源：

GLASNIK MATEMATICKI | 2014年 / 49卷 / 02期

关键词：

Quasi linear elliptic; positive strong solution; weak solution; regularity; classical solution;

D O I：

10.3336/gm.49.2.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the regularity of positive, spherically symmetric solutions of a class of quasilinear elliptic equations involving the p-Laplace operator, with an arbitrary positive growth rate e(0) on the gradient on the right-hand side. We study the regularity of a class of strong and weak solutions at the origin. Furthermore, we find some conditions under which strong solutions are classical.

引用

页码：369 / 375

页数：7