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
收藏
页码：819 / 841
页数：23
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