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

页码：255 / 282

页数：28