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

共 35 条

[31]

MUSIELAK J, 1983, LECT NOTES MATH, V1034, P1

[32] Holder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space [J].

Wang, Beibei ;

Liu, Duchao ;

Zhao, Peihao .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (08) :4835-4863

[33] Steady flow of non-Newtonian fluids monotonicity methods in generalized Orlicz spaces [J].

Wroblewska, Aneta .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) :4136-4147

[34] Existence and Multiplicity of Solutions for a Quasilinear Elliptic Inclusion with a Nonsmooth Potential [J].

Yuan, Ziqing ;

Huang, Lihong ;

Wang, Dongshu .

TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (03) :635-660

[35] Solvability of the Three-Dimensional Thermistor Problem [J].

Zhikov, V. V. .

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2008, 261 (01) :98-111

← 1 2 3 4 →