Quasilinear eigenvalue problems with singular weights for the p-Laplacian

被引：5
|
作者：
Drabek, Pavel [1 ,2 ]
Hernandez, Jesus [3 ]
机构：
[1] Univ West Bohemia, Dept Math, Univ 8, Plzen 30614, Czech Republic
[2] Univ West Bohemia, NTIS, Univ 8, Plzen 30614, Czech Republic
[3] Univ Complutense Madrid, Inst Matemat Interdisciplinar, E-28040 Madrid, Spain
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2019年 / 198卷 / 04期
关键词：
Quasilinear eigenvalue problem; p-Laplacian with singular weights; Principal eigenvalue; Regularity of eigenfunction; Variational characterization; FLAT SOLUTIONS; UNIQUENESS; EXISTENCE; EQUATIONS; SIMPLICITY; PRINCIPLE;
D O I：
10.1007/s10231-018-0811-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study quasilinear homogeneous eigenvalue problem with the p-Laplacian involving singular weights. We work on a bounded domain with Lipschitzian boundary and the weights are negative powers of the distance from the boundary. We generalize results concerning the existence and properties of the principal eigenvalue and corresponding eigenfunctions for both quasilinear unweighted case and singular linear case.
引用
收藏
页码：1069 / 1086
页数：18
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