RENORMALIZED SOLUTION OF ELLIPTIC EQUATIONS WITH SINGULAR MEASURE IN THE SOURCE TERM

被引：0

作者：

Alaoui, Mohammed Kbiri ^{[1
]}

Hamid, Haydar Abdel ^{[2
]}

Al Sayed, Waad ^{[2
]}

机构：

[1] King Khalid Univ, Dept Math, POB 9004, Abha, Saudi Arabia

[2] Fahad Bin Sultan Univ, Fac Sci & Humanities, POB 15700, Tabuk 71454, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 06期

关键词：

Radon measure; renormalized solution; Orlicz-Sobolev spaces; EXISTENCE; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article deals with the existence of renormalized solutions of some problems with singular data in the Orlicz-Sobolev spaces.

引用

页码：901 / 918

页数：18

共 50 条

[31] Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data
Bidaut-Veron, Marie-Francoise
Nguyen, Quoc-Hung
Veron, Laurent
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 59 (05)
[32] Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data
Marie-Françoise Bidaut-Véron
Quoc-Hung Nguyen
Laurent Véron
Calculus of Variations and Partial Differential Equations, 2020, 59
[33] Gradient estimates of general nonlinear singular elliptic equations with measure data
Zhang, Junjie
Zheng, Shenzhou
Feng, Zhaosheng
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 372 : 402 - 457
[34] Existence of renormalized solutions to nonlinear elliptic equations with two lower order terms and measure data
Guibe, Olivier
Mercaldo, Anna
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (02) : 643 - 669
[35] Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data
Lv, Boqiang
Li, Fengquan
Zou, Weilin
JOURNAL OF CONVEX ANALYSIS, 2014, 21 (02) : 317 - 338
[36] Asymptotic behaviour of renormalized solutions to elliptic equations with measure data and G-converging operators
Malusa, Annalisa
Orsina, Luigi
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2006, 27 (02) : 179 - 202
[37] Asymptotic behaviour of renormalized solutions to elliptic equations with measure data and G-converging operators
Annalisa Malusa
Luigi Orsina
Calculus of Variations and Partial Differential Equations, 2006, 27 : 179 - 202
[38] Asymptotics for singular solutions of quasilinear elliptic equations with an absorption term
Repovs, Dusan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (01) : 78 - 85
[39] Very weak solutions to elliptic equations with singular convection term
Greco, Luigi
Moscariello, Gioconda
Zecca, Gabriella
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 457 (02) : 1376 - 1387
[40] Nonexistence of solutions for singular elliptic equations with a quadratic gradient term
Zhou, Wenshu
Wei, Xiaodan
Qin, Xulong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (15) : 5845 - 5850

← 1 2 3 4 5 →