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.
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页码：701 / 718
页数：18
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