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

被引：3

作者：

Harcha, H. ^{[1
]}

Chakrone, O. ^{[1
]}

Tsouli, N. ^{[1
]}

机构：

[1] Mohammed First Univ, Dept Math, Fac Sci, Oujda, Morocco

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：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the following problem with the p-Laplacian fractional involving singular weights [GRAPHICS] . where Omega is a bounded domain of R-N (N >= 3) with smooth boundary partial derivative Omega. 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.

引用

页数：14

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