Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities

被引:1
|
作者
Bouhlal, Aziz [1 ]
Igbida, Jaouad [2 ]
机构
[1] Fac Sci, Lab Math & Applicat, BP 20, El Jadida, Morocco
[2] CRMEF, Lab DGTIC, Dept Math, El Jadida, Morocco
关键词
QUASI-LINEAR EQUATIONS; GRADIENT; GROWTH;
D O I
10.1155/2021/5589504
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For q,gamma > 0, we study existence and regularity of solutions for unbounded elliptic problems whose simplest model is {-div[(1 + vertical bar u vertical bar(q))del u] = (f/vertical bar u vertical bar(c)) in Omega u = 0 on z Omega, where f is an element of L-m(Omega), m >= 1.
引用
收藏
页数:9
相关论文
共 50 条
  • [21] Existence of bounded solutions for nonlinear elliptic equations in unbounded domains
    A. Dall’aglio
    V. De Cicco
    D. Giachetti
    J. -P. Puel
    Nonlinear Differential Equations and Applications NoDEA, 2004, 11 : 431 - 450
  • [22] Existence of solutions to resonant elliptic boundary value problems with unbounded discontinuous nonlinearities
    Lepchinskiĭ M.G.
    Siberian Mathematical Journal, 2011, 52 (3) : 487 - 500
  • [23] Asymptotic behavior and existence of solutions for singular elliptic equations
    Durastanti, Riccardo
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (03) : 925 - 954
  • [24] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC EQUATIONS WITH SINGULAR GROWTH
    Nasri, Yasmina
    Rimouche, Ali
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [25] Existence of bounded solutions for nonlinear elliptic equations in unbounded domains
    Dall'Aglio, A
    De Cicco, V
    Giachetti, D
    Puel, JP
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, 11 (04): : 431 - 450
  • [26] Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth
    Bouhlal, Aziz
    El Hachimi, Abderrahmane
    Igbida, Jaouad
    Sadek, El Mostafa
    Talibi Alaoui, Hamad
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 2018
  • [27] Existence of singular positive solutions of semilinear elliptic equations
    Qi Jiangang
    Zhuang Wan
    Acta Mathematicae Applicatae Sinica, 1998, 14 (1) : 109 - 112
  • [28] Asymptotic behavior and existence of solutions for singular elliptic equations
    Riccardo Durastanti
    Annali di Matematica Pura ed Applicata (1923 -), 2020, 199 : 925 - 954
  • [29] EXISTENCE OF SINGULAR POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS
    綦建刚
    庄万
    Acta Mathematicae Applicatae Sinica(English Series), 1998, (01) : 109 - 112
  • [30] Existence of Weak Solutions to a Class of Singular Elliptic Equations
    Qingwei Li
    Wenjie Gao
    Mediterranean Journal of Mathematics, 2016, 13 : 4917 - 4927