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

被引：1
作者：
Sabri, Abdelali [1 ]
Jamea, Ahmed [1 ]
Alaoui, Hamad Talibi [1 ]
Jadida, El [1 ]
机构：
[1] Univ Chouaib Doukkali el Jadida, Fac Sci, Equipe Mathemat Appliquee Phys & lIndustrie EMAP, El Jadida 24000, Morocco
来源：
MATHEMATICA BOHEMICA | 2022年 / 147卷 / 01期
关键词：
degenerate elliptic problem; existence; uniqueness; weak solution; weighted Sobolev space; EXISTENCE;
D O I：
10.21136/MB.2021.0004-20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic p-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of weighted Sobolev spaces.
引用
收藏
页码：113 / 129
页数：17
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