BEHAVIOR OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE p(x)-LAPLACIAN AT A BOUNDARY POINT

被引：10

作者：

Alkhutov, Yu A. ^{[1
]}

Surnachev, M. D. ^{[2
]}

机构：

[1] Vladimir State Univ, Gorkogo St 87, Vladimir 600000, Russia

[2] Russian Acad Sci, Keldysh Inst Appl Math, Miusskaya Pl 4, Moscow 125047, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2020年 / 31卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Wiener criterion; boundary regularity; Dirichlet problem; variable exponent; p(x)-Laplacian; REGULARITY;

D O I：

10.1090/spmj/1595

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Dirichlet problem for the p(x)-Laplacian with a continuous boundary function is treated. A sufficient condition is indicated for the regularity of a boundary point, and the modulus of continuity of solutions at this point is estimated.

引用

页码：251 / 271

页数：21

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