Anisotropic degenerate elliptic problem with singular gradient lower order term

被引：2
|
作者：
Khelifi, Hichem [1 ,2 ,3 ]
机构：
[1] Univ Algiers, Fac Sci, Dept Math, Algiers, Algeria
[2] ENS Kouba, Lab Nonlinear Partial Differential Equat & HM, Algiers, Algeria
[3] Univ Algiers 1, Lab Math Anal & Applicat, Algiers, Algeria
来源：
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2024年 / 17卷 / 01期
关键词：
Anisotropic elliptic problem; Singular gradient lower order term; Degeneratecoercivity; L(m)data; Harnack Inequality; Comparison principle; EXISTENCE; NONEXISTENCE; EQUATIONS;
D O I：
10.1007/s40574-023-00395-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence and regularity results of anisotropic elliptic equations with degenerate coercivity and a singular lower order term exhibiting natural growth with respect to the gradient. The model problem we consider is { & sum;i=1Di[|Diu|pi(-2)Diu(1+|u|)gamma]+(N)& sum;(i=1)|Diu|(pi)|u|theta=fin Omega,u=0 on partial derivative Omega, where Omega is a bounded domain inRN,gamma>0, 0 <=theta<1and2 <= p1 <= p2 <= <middle dot><middle dot><middle dot> <= pN.The results of our study will rely on the summability offin specific Lebesgue spaces andthe value of gamma
引用
收藏
页码：149 / 174
页数：26
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