ENTROPY SOLUTIONS FOR PARABOLIC EQUATIONS IN MUSIELAK FRAMEWORK WITHOUT SIGN CONDITION AND WITH MEASURE DATA

被引：1
|
作者：
Vall, M. S. B. Elemine [1 ]
Ahmed, A. [1 ]
Touzani, A. [1 ]
Benkirane, A. [1 ]
机构：
[1] Univ Sidi Mohamed Ibn Abdellah, Fac Sci Dhar El Mahraz, Lab LAMA, Dept Math, BP 1796, Atlas Fez, Morocco
来源：
ARCHIVUM MATHEMATICUM | 2020年 / 56卷 / 02期
关键词：
inhomogeneous Musielak-Orlicz-Sobolev spaces; parabolic problems; Galerkin method; NONLINEAR ELLIPTIC-EQUATIONS; RENORMALIZED SOLUTIONS; EXISTENCE;
D O I：
10.5817/AM2020-2-65
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an existence result of entropy solutions for a class of strongly nonlinear parabolic problems in Musielak-Sobolev spaces, without using the sign condition on the nonlinearities and with measure data.
引用
收藏
页码：65 / 106
页数：42
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