Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L1 data

被引：10

作者：

Hichem, Khelifi ^{[1
,2
]}

Fares, Mokhtari ^{[1
]}

机构：

[1] Univ Algiers, Dept Math & Informat, 2 St Didouche Mourad Algiers, Algiers, Algeria

[2] Badji Mokhtar Univ Annaba, Appl Math Lab, BP 12, Annaba, Algeria

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 33卷 / 01期

关键词：

Sobolev spaces with variable exponents; anisotropic equations; elliptic equations; L-1; data; SPACES;

D O I：

10.4208/jpde.v33.n1.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of a nonlinear anisotropic elliptic equation with degenerate coercivity, lower order term and L-1 datum in appropriate anisotropic variable exponents Sobolev spaces. We obtain the existence of distributional solutions.

引用

页码：1 / 16

页数：16

共 14 条

[1]

[Anonymous], ELECT J DIFFERENTIAL

[2]

Ayadi H., 2018, Electron. J. Differ. Equ, V2018, P1

[3] Entropy solutions for nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity [J].

Ayadi, Hocine ;

Mokhtari, Fares .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (05) :717-739

[4]

Benboubker MB, 2015, TOPOL METHOD NONL AN, V46, P665

[5] A microphone position calibration method based on combination of acoustic energy decay model and TDOA for distributed microphone array [J].

Chen, Zhe ;

Li, Zhenglin ;

Wang, Shuwen ;

Yin, Fuliang .

APPLIED ACOUSTICS, 2015, 95 :13-19

[6] Anisotropic variable exponent Sobolev spaces and p((x)over-right-arrow)-Laplacian equations [J].

Fan, Xianling .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (7-9) :623-642

[7] Sobolev embedding theorems for spaces Wk,p(x)(Ω) [J].

Fan, XL ;

Shen, JS ;

Zhao, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) :749-760

[8]

KOVACIK O, 1991, CZECH MATH J, V41, P592

[9]

Lions, 1969, QUELQUES METHODES RE

[10] Anisotropic nonlinear elliptic systems with variable exponents and degenerate coercivity [J].

Mokhtar, Naceri ;

Mokhtari, Fares .

APPLICABLE ANALYSIS, 2021, 100 (11) :2347-2367

← 1 2 →