Harnack's Inequality for Quasilinear Elliptic Equations with Singular Absorption Term

被引：3

作者：

Skrypnik, I. I. ^{[1
,2
]}

机构：

[1] NAS Ukraine, Inst Appl Math & Mech, G Batiouk Str 19, UA-84100 Slovjansjk, Ukraine

[2] Vasyl Stus Donetsk Natl Univ, 600 Richya Str 21, UA-21021 Vinnytsia, Ukraine

来源：

POTENTIAL ANALYSIS | 2019年 / 50卷 / 04期

关键词：

Quasilinear elliptic equations; Singular absorption term; Harnack's inequality;

D O I：

10.1007/s11118-018-9691-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study nonnegative solutions of quasilinear equation model of which is -Delta(p)u + V(x)f(u) = h(x)vertical bar del(u)vertical bar(p-1) + g(x), p > 1. Under the natural assumptions on the functions f, V, h and g we prove the Harnack inequality with constant independent of the solution. In the case g(x) equivalent to V(x) we obtain an analogue of the well known Kilpelainen-Maly sub-bound.

引用

页码：521 / 539

页数：19

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