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.

引用

页数：12

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