EXISTENCE OF RENORMALIZED SOLUTIONS FOR SOME DEGENERATE AND NON-COERCIVE ELLIPTIC EQUATIONS

被引：1
|
作者：
Akdim, Youssef [1 ]
Belayachi, Mohammed [1 ]
Hjiaj, Hassane [2 ]
机构：
[1] Univ Sidi Mohamed Ben Abdellah, Fac Sci Dhar el Mahraz, Dept Math, Lab LAMA, BP 1796, Fes, Morocco
[2] Univ Abdelmalek Essaadi, Dept Math, Fac Sci Tetouan, Quartier Mhaneche II,Ave Palestine,BP 2121, Tetouan 93000, Morocco
来源：
MATHEMATICA BOHEMICA | 2023年 / 148卷 / 02期
关键词：
renormalized solution; nonlinear elliptic equation; non-coercive problem; NATURAL GROWTH TERMS;
D O I：
10.21136/MB.2022.0061-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the study of some nonlinear degenerated elliptic equations, whose prototype is given by - div(b(|u|)|.del u|(p-2)del u) + d(|u|)|del u|(p) = f - div(c(x)|u|(alpha) in Omega, u = 0 where Omega is a bounded open set of R-N (N > 2) with 1 < p < N and f.epsilon L-1(Omega), under some growth conditions on the function b(center dot) and d(center dot), where c(center dot) is assumed to be in LN/(p-1)(Omega). We show the existence of renormalized solutions for this non-coercive elliptic equation, also, some regularity results will be concluded.
引用
收藏
页码：255 / 282
页数：28
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