An existence result of entropy solutions to elliptic problems in generalized Orlicz-Sobolev spaces

被引：5
|
作者：
Bourahma, M. [1 ]
Benkirane, A. [1 ]
Bennouna, J. [1 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Lab LAMA, PB 1796, Fez Atlas, Fez, Morocco
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 01期
关键词：
Elliptic problems; Musielak-Orlicz-Sobolev spaces; Entropy solutions; Generalized growth; RENORMALIZED SOLUTIONS; EQUATIONS;
D O I：
10.1007/s12215-020-00506-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper provides existence results for entropy solutions to elliptic problem with nonstandard growth and merely integrable data, -divA(x,u, backward difference u)-div phi(x,u)=fin omega,the growth of leading part of the operator is governed by a Musielak function whose growth does not have to be doubling and the lower-order term phi satisfies a generalized natural growth condition without any supplementary restrictions.
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页码：481 / 504
页数：24
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