Extinction and non-extinction of solutions for nonlocal fractional p-Kirchhoff problem with logarithmic nonlinearity

被引：0
|
作者：
Meng, Fanmeng [1 ]
Zhou, Xian-Feng [1 ]
Wang, Sen [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 158卷
基金：
中国国家自然科学基金;
关键词：
Fractional p-Laplacian; Logarithmic nonlinearity; Global existence; Extinction; Non-extinction;
D O I：
10.1016/j.aml.2024.109243
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the extinction and non-extinction properties of solutions for a class of Kirchhoff type parabolic problems involving fractional p-Laplacian and logarithmic nonlinearity. Based on energy estimates, embedding theorems, and certain ordinary differential inequalities, the global existence of solutions, and the extinction and non-extinction properties of global weak solutions are obtained. The results of this paper extend and complement previous research findings on this type of equation.
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页数：6
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