EXISTENCE AND UNIQUENESS FOR ANISOTROPIC QUASILINEAR ELLIPTIC EQUATIONS INVOLVING SINGULAR NONLINEARITIES

被引：0
|
作者：
Esposito, Francesco [1 ]
Sciunzi, Berardino [1 ]
Trombetta, Alessandro [1 ]
机构：
[1] Univ Calabria, Dipartimento Matemat & Informat, Arcavacata Di Rende, CS, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2024年 / 44卷 / 06期
关键词：
Existence of solutions; uniqueness of solutions; singular problems; anisotropic operators; Finsler norms; EVERYWHERE CONVERGENCE; GRADIENTS;
D O I：
10.3934/dcds.2024003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence and uniqueness of nonnegative solutions to the following singular anisotropic elliptic equation involving the Finsler p-Laplace operator: triangle(H)(p)u=f(x)/u(gamma) in ohm where ohm subset of R(N)is a bounded smooth domain, p >1,gamma >0,N >= 2,f >= 0 in ohm(not identically zero),His a Finsler norm, and it is subject to zero Dirichlet boundary conditions. In particular, we obtain our results under very general summability assumptions on the source term f.
引用
收藏
页码：1628 / 1646
页数：19
相关论文
共 50 条
  • [1] Existence of radial solutions for quasilinear elliptic equations with singular nonlinearities
    Acciaio, B
    Pucci, P
    [J]. ADVANCED NONLINEAR STUDIES, 2003, 3 (04) : 511 - 539
  • [2] Existence and uniqueness for p-Laplace equations involving singular nonlinearities
    Annamaria Canino
    Berardino Sciunzi
    Alessandro Trombetta
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2016, 23
  • [3] Existence and uniqueness for p-Laplace equations involving singular nonlinearities
    Canino, Annamaria
    Sciunzi, Berardino
    Trombetta, Alessandro
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2016, 23 (02):
  • [4] Existence and uniqueness theorems for singular anisotropic quasilinear elliptic boundary value problems
    Hill, S
    Moore, KS
    Reichel, W
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (06) : 1673 - 1683
  • [5] Existence of solutions to mixed local and nonlocal anisotropic quasilinear singular elliptic equations
    Suonan, Labudan
    Xu, Yonglin
    [J]. AIMS MATHEMATICS, 2023, 8 (10): : 24862 - 24887
  • [6] Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
    Jia Gao
    Huang Lina
    Zhang Xiaojuan
    [J]. Boundary Value Problems, 2012
  • [7] Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
    Jia Gao
    Huang Lina
    Zhang Xiaojuan
    [J]. BOUNDARY VALUE PROBLEMS, 2012,
  • [8] On the uniqueness problem for quasilinear elliptic equations involving measures
    Kilpelainen, T
    Xu, XS
    [J]. REVISTA MATEMATICA IBEROAMERICANA, 1996, 12 (02) : 461 - 475
  • [9] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SINGULAR QUASILINEAR SCHRODINGER EQUATIONS
    Wang, Li-Li
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [10] Existence and uniqueness for nonlinear anisotropic elliptic equations
    R. Di Nardo
    F. Feo
    [J]. Archiv der Mathematik, 2014, 102 : 141 - 153
12345