ENTROPY SOLUTION FOR A NONLINEAR DEGENERATE ELLIPTIC PROBLEM WITH DIRICHLET-TYPE BOUNDARY CONDITION IN WEIGHTED SOBOLEV SPACES

被引：3
|
作者：
Sabri, A. [1 ]
Jamea, A. [2 ]
Alaoui, H. T. [1 ]
机构：
[1] Univ Chouaib Doukkali, Fac Sci, EMAPI, El Jadida 24000, Morocco
[2] Univ Chouaib Doukkali, Fac Sci, EMAPI, CRMEF Casablanca Settat,SP El Jadida, El Jadida 24000, Morocco
来源：
MATEMATICHE | 2021年 / 76卷 / 01期
关键词：
Degenerate elliptic problem; entropy solution; existence; uniqueness; weighted Sobolev space; EQUATIONS;
D O I：
10.4418/2021.76.1.7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the existence and uniqueness results of an entropy solution to a class of nonlinear degenerate elliptic problem with Dirichlet-type boundary condition and L-1 data. The main tool used here is the regularization approach combined with the theory of weighted Sobolev spaces.
引用
收藏
页码：109 / 131
页数：23
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