LOCAL MORREY ESTIMATE IN MUSIELAK-ORLICZ-SOBOLEV SPACE

被引：0
|
作者：
Liu, Duchao [1 ]
Zhao, Peihao [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 61卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Musielak-Sobolev space; Morrey estimate; Holder continuity; NON-NEWTONIAN FLUIDS; PARABOLIC PROBLEMS; REGULARITY; EXISTENCE; FUNCTIONALS; MINIMIZERS; THEOREMS;
D O I：
10.12775/TMNA.2023.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under appropriate assumptions on the N(Omega)-fucntion, locally uniform Morrey estimate is presented in the Musielak-Orlicz-Sobolev space. The assumptions include a new increasing condition on the x -derivative of the Young complementary function of the N(Omega)-fucntion. The conclusion applies to several important nonlinear examples frequently ap-peared in mathematical literature.
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页码：637 / 650
页数：14
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