Sobolev-Dirichlet problem for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces

被引：9

作者：

Benyaiche, Allami ^{[1
]}

Khlifi, Ismail ^{[1
]}

机构：

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

来源：

POSITIVITY | 2021年 / 25卷 / 03期

关键词：

Generalized Phi-functions; Generalized Orlicz-Sobolev spaces; Obstacle problem; Sobolev-Dirichlet problem; Harnack inequality; Holder continuity; SETS; OBSTACLE;

D O I：

10.1007/s11117-020-00789-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove existence, uniqueness, and local regularity of the solution to the Sobolev-Dirichlet problem for quasilinear elliptic equations in the generalized Orlicz-Sobolev spaces on domains, not necessarily bounded, of R-N. Our approach is based on solving the obstacle problem and using the Harnack inequality.

引用

页码：819 / 841

页数：23

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