Existence and L?-estimates for non-uniformly elliptic equations with non-polynomial growths

被引：2

作者：

Benslimane, Omar ^{[1
]}

Aberqi, Ahmed ^{[2
]}

Elmassoudi, Mhamed ^{[1
]}

机构：

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

[2] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci, Fes, Morocco

来源：

FILOMAT | 2023年 / 37卷 / 16期

关键词：

Degenerate coercivity; Weak solution; Existence; Bounded solution; Elliptic Equations; Orlicz spaces; 2-condition; RENORMALIZED SOLUTIONS; NATURAL GROWTH;

D O I：

10.2298/FIL2316509B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the current paper, we investigate the existence and regularity of weak solutions to a class of non-uniformly elliptic equations with degenerate coercivity and non-polynomial growth. The model case is given as follows: ( exp(1 + |Du|) l + M(|Du|) div(1 + |u|)2 Du(1 + |u|)2 .u = f in omega. An L infinity- estimate of solutions is also obtained for an L1-datum f.

引用

页码：5509 / 5522

页数：14

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