Nonexistence results of solutions for some fractional p-Laplacian equations in RN

被引：0
|
作者：
Chen, Yuxin [1 ]
Liu, Haidong [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2024年 / 34期
基金：
中国国家自然科学基金;
关键词：
fractional p-Laplacian equation; nonexistence; weak solution; INEQUALITIES;
D O I：
10.14232/ejqtde.2024.1.34
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional p-Laplacian equation in two cases which are sp > N and sp < N . In each of these cases, by using fractional Laplacian theory and inequality techniques, we obtain concrete range of parameter for which nontrivial weak solution of the problem does not exist. Our work complements the known nonexistence results in this direction.
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