Existence and regularity results for nonlinear and nonhomogeneous elliptic equation

被引：3

作者：

Benali, Aharrouch ^{[1
]}

Jaouad, Bennouna ^{[1
]}

机构：

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

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2021年 / 7卷 / 02期

关键词：

Sobolev spaces with variable exponent; Nonhomogeneous elliptic equation; Rearrangement methods; RENORMALIZED SOLUTIONS;

D O I：

10.1007/s41808-021-00121-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence and regularity of solutions for the nonlinear elliptic problem {-div a(x, u, del u) = f in Omega, u = 0 on partial derivative Omega, where Omega is a bounded open set in R-N, (N >= 2), a a Caratheodory function, and f in L-m(.)(Omega).

引用

页码：961 / 975

页数：15

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