The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth

被引：28
作者：
Benyaiche, Allami [1 ]
Harjulehto, Petteri [2 ]
Hasto, Peter [2 ]
Karppinen, Arttu [2 ]
机构：
[1] Ibn Tofail Univ, Dept Math, Kenitra, Morocco
[2] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 275卷
关键词：
Nonstandard growth; Supersolution; Harnack's inequality; Musielak-Orlicz spaces; Variable exponent; Double phase; NONLINEAR ELLIPTIC-EQUATIONS; DOUBLE-PHASE PROBLEMS; RENORMALIZED SOLUTIONS; HOLDER CONTINUITY; REGULARITY; FUNCTIONALS; MINIMIZERS; SPACES;
D O I：
10.1016/j.jde.2020.11.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study unbounded weak supersolutions of elliptic partial differential equations with generalized Orlicz (Musielak-Orlicz) growth. We show that they satisfy the weak Harnack inequality with optimal exponent provided that they belong to a suitable Lebesgue or Sobolev space. Furthermore, we establish the sharpness of our central assumptions. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：790 / 814
页数：25
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