Regularizing Effect of Absorption Term in Singular and Degenerate Elliptic Problems

被引：5
作者：
Sbai, Abdelaaziz [1 ]
El Hadfi, Youssef [1 ]
机构：
[1] Sultan Moulay Slimane Univ, Natl Sch Appl Sci Khouribga, Lab LIPIM, Beni Mellal, Morocco
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷
关键词：
Degenerate coercivity; singular non-linearity; regularity; distributional solutions; entropy solutions; Sobolev spaces; EQUATIONS;
D O I：
10.5269/bspm.63746
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the existence and regularity of solutions to the following singular problem rS iota -div ( a ( x, u ) |del u | p - 2 del u ) + | u | s - 1 u = h ( u ) f in Omega u >= 0 in Omega (0.1) u = 0 on partial derivative Omega, proving that the lower order term u | u | s - 1 has some regularizing effects on the solutions in the case of an elliptic operator with degenerate coercivity.
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页数：17
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