Harnack Inequality 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：

POTENTIAL ANALYSIS | 2020年 / 53卷 / 02期

关键词：

Generalized Orlicz-Sobolev spaces; phi-functions; Harnack inequality; Holder continuity;

D O I：

10.1007/s11118-019-09781-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 Phi-functions associated to generalized Phi-functions and the Moser's iteration technique. As a consequence, we obtain the Holder continuity of bounded solutions of such equations.

引用

页码：631 / 643

页数：13

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