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.
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页码：251 / 271
页数：21
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