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

页码：65 / 106

页数：42

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