Harnack Inequality for Quasilinear Elliptic Equations in Generalized Orlicz-Sobolev Spaces

被引：0
作者：
Allami Benyaiche
Ismail Khlifi
机构：
[1] Ibn Tofail University,Department of Mathematics
来源：
Potential Analysis | 2020年 / 53卷
关键词：
Generalized Orlicz-Sobolev spaces; Φ-functions; Harnack inequality; Hölder continuity; 35B65; 35J60; 31C45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove, by a new method, the Harnack inequality for positive solutions of quasilinear elliptic equations in the generalized Orlicz-Sobolev space setting. Our approach is based on the usage of the Φ-functions associated to generalized Φ-functions and the Moser’s iteration technique. As a consequence, we obtain the Hölder continuity of bounded solutions of such equations.
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页码：631 / 643
页数：12
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