Gradient estimates for the p-laplace equation with a singular source

被引：0

作者：

Dias, Gilberlandio J. ^{[1
]}

Duarte, italo B. M. ^{[1
]}

机构：

[1] Univ Fed Amapa, Macapa, Amapa, Brazil

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2024年 / 10卷 / 02期

关键词：

p-Laplace; Local estimate; Regularity; REGULARITY; PROOF;

D O I：

10.1007/s41808-024-00284-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we will employ the method of "DeGiorgi-Nash-Moser" to establish a L-infinity local estimate for the gradient of local weak solutions to p-Laplacian equation -div|del u|(p-2)del u = f(x,u,del u). (1.1) In this work we extend to 1<p< 2 the local estimates of the & Vert;del u & Vert;(infinity )of the local weak solutions of (1.1), obtained by Bhattacharya, DiBenedetto and Manfrediin Limits as p ->infinity of Delta(p)u(p)=f and related extremal problems(1989), for p>2.

引用

页码：899 / 914

页数：16

共 19 条

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