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

页码：149 / 174

页数：26

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