Existence and regularity of solutions for degenerate elliptic equations with variable growth

被引：1

作者：

Aharrouch, Benali ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahrez, Lab LAMA, Fes, Morocco

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2023年 / 9卷 / 01期

关键词：

Elliptic problem; Marcinkiewicz space; Weak and entropy solutions; SOBOLEV SPACES;

D O I：

10.1007/s41808-022-00187-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and regularity of solutions to a degenerate nonlinear elliptic problem with boundary conditions of the Dirichlet type - div b(x, v, del v) = g in Omega, where Omega is a bounded open set with smooth boundary in R-N, (N >= 2) and b(., v, del v) is a Caratheodory function and the second member g belongs to L-1 (Omega). The main tools used are a priori estimates in Marcinkiewicz space with variable exponent.

引用

页码：627 / 646

页数：20

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