Local boundedness of weak solutions to an inclusion problem in Musielak-Orlicz-Sobolev spaces

被引：0
|
作者：
Dong, Ge [1 ]
Fang, Xiaochun [2 ]
机构：
[1] Shanghai Tech Inst Elect & Informat, Shanghai 201411, Peoples R China
[2] Tongji Univ, Sch Math Sci, Key Lab Intelligent Comp & Applicat, Minist Educ, Shanghai 200092, Peoples R China
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年
关键词：
Local boundedness; Inclusion problems; Multivalued elliptic differential operators; Multivalued terms; Musielak-Orlicz-Sobolev spaces; ELLIPTIC-EQUATIONS; EXISTENCE;
D O I：
10.1007/s13226-024-00693-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Applying the De Giorgi process, the local boundedness of weak solutions to an inclusion problem driven by a multivalued elliptic differential operator with the Dirichlet boundary condition and a multivalued term depending on the solution and its gradient is proved in Musielak-Orlicz-Sobolev spaces.
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页数：12
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