EXISTENCE OF RENORMALIZED SOLUTIONS FOR SOME ANISOTROPIC QUASILINEAR ELLIPTIC EQUATIONS

被引：0

作者：

Ahmedatt, T. ^{[1
]}

Ahmed, A. ^{[1
]}

Hjiaj, H. ^{[2
]}

Touzani, A. ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Fac Sci Dhar Mahraz, Dept Math, LAMA Lab, BP 1796, Atlas Fez, Morocco

[2] Univ Abdelmalek Essaadi, Fac Sci Tetouan, Dept Math, BP 2121, Tetouan, Morocco

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 04期

关键词：

Anisotropic Sobolev spaces; variable exponents; quasilinear elliptic equations; renormalized solutions; UNIQUENESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of anisotropic quasilinear elliptic equations of the type {-Sigma(N)(i=1) partial derivative(i)a(i)(x, u, del u) + vertical bar u vertical bar(s(x)-1)u = f(x, u), in Omega, u = 0 on partial derivative Omega, where f( x, s) is a Caratheodory function which satisfies some growth condition. We prove the existence of renormalized solutions for our Dirichlet problem, and some regularity results are concluded.

引用

页码：617 / 637

页数：21

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