ON THE NONLINEAR EIGENVALUE PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN OPERATOR WITH SINGULAR WEIGHT

被引：0
|
作者：
Harcha H. [1 ]
Chakrone O. [1 ]
Tsouli N. [1 ]
机构：
[1] Department of Mathematics, Faculty of Sciences, Mohammed First University, Oujda
来源：
Journal of Nonlinear Functional Analysis | 2022年 / 2022卷
关键词：
Compact embedding theorem; First eigenvalue and eigenfunction; Nonlinear eigenvalue problem; Picone's identity; Variational methods;
D O I：
10.23952/JNFA.2022.40
中图分类号：
学科分类号：
摘要：
The aim of this paper is to study the following problem with the p-Laplacian fractional involving singular weights (equation presented) where Ω is a bounded domain of ℝN (N ≥ 3) with smooth boundary ∂Ω. The existence and the properties of the principal eigenvalue, such as simplicity, isolation, and corresponding eigenfunctions are obtained. Finally, we study the nonexistence of solutions by using a type version of Picone's identity. © 2022 Journal of Nonlinear Functional Analysis.
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