PWB-method and Wiener criterion for boundary regularity under generalized Orlicz growth

被引：1

作者：

Benyaiche, Allami ^{[1
]}

Khlifi, Ismail ^{[1
]}

机构：

[1] Ibn Tofail Univ, Dept Math, BP 133, Kenitra, Morocco

来源：

POSITIVITY | 2023年 / 27卷 / 02期

关键词：

Generalized Orlicz-Sobolev spaces; Generalized & Phi; -functions; Perron method; Wiener criterion; G(.)-capacity; G(.)-potential; OPERATORS; EQUATIONS;

D O I：

10.1007/s11117-023-00979-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Perron 's method and Wiener 's criterion, the Dirichlet problem associated with the Laplacian equation was entirely solved. Since then, these ideas have been used for more general equations. So, in this paper, we extend these methods to study the regularity of boundary points of bounded domain concerning the Dirichlet problem associated with quasilinear equations under Musielak-Orlicz growth.

引用

页数：31

共 33 条

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