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.

引用

页数：6

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