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

页码：113 / 129

页数：17

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