Bloch estimates in non-doubling generalized Orlicz spaces

被引：1
作者：
Harjulehto, Petteri [1 ]
Hasto, Peter [2 ]
Juusti, Jonne [2 ]
机构：
[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland
[2] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland
来源：
MATHEMATICS IN ENGINEERING | 2023年 / 5卷 / 03期
关键词：
non-doubling; Harnack?s inequality; generalized Orlicz space; Musielak-Orlicz spaces; nonstandard growth; variable exponent; double phase; RENORMALIZED SOLUTIONS; HOLDER CONTINUITY; REGULARITY; FUNCTIONALS; MINIMIZERS; INEQUALITY; EQUATIONS; EXPONENT;
D O I：
10.3934/mine.2023052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study minimizers of non-autonomous functionalsinf u circumflex accent cc(x, |Vu|) dx Omega when cc has generalized Orlicz growth. We consider the case where the upper growth rate of cc is unbounded and prove the Harnack inequality for minimizers. Our technique is based on "truncating" the function cc to approximate the minimizer and Harnack estimates with uniform constants via a Bloch estimate for the approximating minimizers.
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页码：1 / 21
页数：21
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