Nonlinear obstacle problems with double phase in the borderline case

被引：4

作者：

Byun, Sun-Sig ^{[1
,2
]}

Cho, Yumi ^{[1
]}

Oh, Jehan ^{[3
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

[3] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea

来源：

MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

BMO coefficient; Calderon-Zygmund estimate; double phase problem; obstacle problem; Reifenberg flat domain; ELLIPTIC-EQUATIONS; REGULARITY; GRADIENT; MINIMIZERS; FUNCTIONALS; INTEGRALS; EXISTENCE; CALCULUS; THEOREM; SPACES;

D O I：

10.1002/mana.201800277

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a double phase problem with an irregular obstacle. The energy functional under consideration is characterized by the fact that both ellipticity and growth switch between a type of polynomial and a type of logarithm, which can be regarded as a borderline case of the double phase functional with (p,q)-growth. We obtain an optimal global Calderon-Zygmund type estimate for the obstacle problem with double phase in the borderline case.

引用

页码：651 / 669

页数：19

共 50 条

[41] Nonlinear parabolic double phase variable exponent systems with applications in image noise removal [J].

Charkaoui, Abderrahim ;

Ben-Loghfyry, Anouar ;

Zeng, Shengda .

APPLIED MATHEMATICAL MODELLING, 2024, 132 :495-530

[42] Irregular Double Obstacle Problems with Orlicz Growth [J].

Byun, Sun-Sig ;

Liang, Shuang ;

Ok, Jihoon .

JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (02) :1965-1984

[43] Existence of weak solutions to borderline double-phase problems with logarithmic convection terms [J].

Tran, Minh-Phuong ;

Nguyen, Thanh-Nhan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 546 (01)

[44] Symmetry and monotonicity of singular solutions of double phase problems [J].

Biagi, Stefano ;

Esposito, Francesco ;

Vecchi, Eugenio .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 280 :435-463

[45] Concentration of solutions for non-autonomous double-phase problems with lack of compactness [J].

Zhang, Weiqiang ;

Zuo, Jiabin ;

Radulescu, Vicentiu D. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (04)

[46] Existence of solutions for double phase obstacle problems with multivalued convection term [J].

Zeng, Shengda ;

Gasinski, Leszek ;

Winkert, Patrick ;

Bai, Yunru .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 501 (01)

[47] Double phase problems with variable growth [J].

Cencelj, Matija ;

Radulescu, Vicentiu D. ;

Repovs, Dusan D. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 177 :270-287

[48] Regularity for Double Phase Variational Problems [J].

Colombo, Maria ;

Mingione, Giuseppe .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2015, 215 (02) :443-496

[49] On a class of critical double phase problems [J].

Farkas, Csaba ;

Fiscella, Alessio ;

Winkert, Patrick .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 515 (02)

[50] An inverse problem for a double phase implicit obstacle problem with multivalued terms [J].

Zeng, Shengda ;

Bai, Yunru ;

Radulescu, Vicentiu D. ;

Winkert, Patrick .

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2023, 29

← 1 2 3 4 5 →