Nonnegative weak solution for a periodic parabolic equation with bounded Radon measure

被引：7
作者：
Charkaoui, Abderrahim [1 ]
Alaa, Nour Eddine [1 ]
机构：
[1] Cadi Ayyad Univ, Fac Sci & Technol Marrakesh, Lab LAMAI, Marrakech, Morocco
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2022年 / 71卷 / 01期
关键词：
Periodic solution; Weak solution; Radon measure; Sub-solution; Super-solution; EXISTENCE;
D O I：
10.1007/s12215-021-00614-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this work is to study a class of periodic parabolic equations having a critical growth nonlinearity with respect to the gradient and bounded Radon measure. By the main of the sub- and super-solution method, we employ some new technics to prove the existence of a nonnegative weak periodic solution to the studied problems.
引用
收藏
页码：459 / 467
页数：9
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