Eigenvalue Problem For Perturbated p-Laplacian

被引：0

作者：

Latifi, Mehdi ^{[1
]}

Alimohammady, Mohsen ^{[2
]}

机构：

[1] Khatam Ol Anbia PBA Univ, Dept Basic Sci, Tehran, Iran

[2] Univ Mazandaran, Fac Basic Sci, Dept Math, Babolsar 474161468, Iran

来源：

THAI JOURNAL OF MATHEMATICS | 2022年 / 20卷 / 01期

关键词：

eigenvalue; p-Laplacian; Ljusternik-Schnirelman principle; REGULARITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We want to study the nonlinear eigenvalue problem, for perturbated p-Laplacian operator with zero Dirichlet condition on a bounded region in RN. Using the Ljusternik-Schnirelman principle we show that the existence of a nondecreasing sequence of nonnegative eigenvalues and a sequence of eigenfunction that weakly convergences to zero function.

引用

页码：35 / 54

页数：20

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