Degenerate elliptic problem with a singular nonlinearity

被引：23
|
作者：
Sbai, Abdelaaziz [1 ]
El Hadfi, Youssef [1 ]
机构：
[1] Sultan Moulay Slimane Univ, Natl Sch Appl Sci Khouribga, Lab LIPIM, Khouribga, Morocco
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 05期
关键词：
Degenerate elliptic equation; singular nonlinearity; existence; regularity; symmetrization; Sobolev spaces; PARABOLIC EQUATIONS; BOUNDED SOLUTIONS; EXISTENCE;
D O I：
10.1080/17476933.2021.2014458
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove existence and regularity results for solutions of some nonlinear Dirichlet problems for an elliptic equation defined by a degenerate coercive operator and a singular right-hand side {-div(a(x,u, del u) = f/u(gamma) in Omega, u = 0 on partial derivative Omega, (1) where Omega is bounded open subset of R-N (N >= 2), gamma > 0 and f is a non-negative function that belongs to some Lebesgue space.
引用
收藏
页码：701 / 718
页数：18
相关论文
共 50 条
  • [1] Anisotropic degenerate elliptic problem with a singular nonlinearity
    Zouatini, Mohamed Amine
    Khelifi, Hichem
    Mokhtari, Fares
    ADVANCES IN OPERATOR THEORY, 2023, 8 (01)
  • [2] Anisotropic degenerate elliptic problem with a singular nonlinearity
    Mohamed Amine Zouatini
    Hichem Khelifi
    Fares Mokhtari
    Advances in Operator Theory, 2023, 8
  • [3] On a degenerate singular elliptic problem
    Garain, Prashanta
    MATHEMATISCHE NACHRICHTEN, 2022, 295 (07) : 1354 - 1377
  • [4] An nonlinear elliptic problem involves two types of terms: degenerate coercivity and singular nonlinearity
    Khelifi, Hichem
    Zouatini, Mohamed Amine
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43
  • [5] An eigenvalue problem involving a degenerate and singular elliptic operator
    Mihailescu, Mihai
    Repovs, Dusan
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2011, 18 (05) : 839 - 847
  • [6] A singular boundary value problem for a degenerate elliptic PDE
    Biset, Tesfa
    Mohammed, Ahmed
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 119 : 222 - 234
  • [7] A NONSMOOTH THEORY FOR A LOGARITHMIC ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY
    Lei, Chunyu
    Liao, Jiafeng
    Chu, Changmu
    Suo, Hongmin
    ACTA MATHEMATICA SCIENTIA, 2022, 42 (02) : 502 - 510
  • [8] Elliptic system with some singular nonlinearity
    Choi, Q-Heung
    Jung, Tacksun
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (02) : 250 - 265
  • [9] On a Fourth Order Elliptic Problem with a Singular Nonlinearity
    Cassani, Daniele
    do O, Joao Marcos
    Ghoussoub, Nassif
    ADVANCED NONLINEAR STUDIES, 2009, 9 (01) : 177 - 197
  • [10] THE DIRICHLET PROBLEM FOR POSSIBLY SINGULAR ELLIPTIC EQUATIONS WITH DEGENERATE COERCIVITY
    Durastanti, Riccardo
    Oliva, Francescantonio
    ADVANCES IN DIFFERENTIAL EQUATIONS, 2024, 29 (5-6) : 339 - 388
12345