CONTINUITY OF THE VARIATIONAL EIGENVALUES OF THE p-LAPLACIAN WITH RESPECT TO p

被引：18

作者：

Parini, Enea ^{[1
]}

机构：

[1] Univ Cologne, Inst Math, D-50931 Cologne, Germany

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 83卷 / 03期

关键词：

nonlinear eigenvalues; p-Laplacian;

D O I：

10.1017/S000497271100205X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note it is shown that a result of Champion and De Pascale [Asymptotic behavior of nonlinear eigenvalue problems involving p-Laplacian type operators', Proc. Roy. Soc. Edinburgh Sect. A 137 (2007), 1179-1195] implies that the variational eigenvalues of the p-Laplacian are continuous with respect to p.

引用

页码：376 / 381

页数：6

共 50 条

[1] CONTINUITY IN WEAK TOPOLOGY AND EXTREMAL PROBLEMS OF EIGENVALUES OF THE p-LAPLACIAN
Yan, Ping
Zhang, Meirong
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (04) : 2003 - 2028
[2] Variational eigenvalues of degenerate eigenvalue problems for the weighted p-Laplacian
Lê, A
Schmitt, K
ADVANCED NONLINEAR STUDIES, 2005, 5 (04) : 573 - 585
[3] Extremal p-Laplacian eigenvalues
Antunes, Pedro R. S.
NONLINEARITY, 2019, 32 (12) : 5087 - 5109
[4] LOWER ROUNDS FOR THE FIRST EIGENVALUES OF THE p-LAPLACIAN AND THE WEIGHTED p-LAPLACIAN
Sun, He-Jun
Han, Chengyue
Zeng, Lingzhong
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (02): : 585 - 596
[5] Mixed eigenvalues of p-Laplacian
Chen, Mu-Fa
Wang, Lingdi
Zhang, Yuhui
FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (02) : 249 - 274
[6] EIGENVALUES OF WEIGHTED p-LAPLACIAN
Wang, Lihan
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (12) : 4357 - 4370
[7] The p-Laplacian with respect to measures
Tuhola-Kujanpaa, Anna
Varpanen, Harri
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 400 (01) : 86 - 95
[8] ON MULTIPLICITY OF EIGENVALUES AND SYMMETRY OF EIGENFUNCTIONS OF THE p-LAPLACIAN
Audoux, Benjamin
Bobkov, Vladimir
Parini, Enea
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2018, 51 (02) : 565 - 582
[9] EIGENVALUES HOMOGENIZATION FOR THE FRACTIONAL p-LAPLACIAN
Martin Salort, Ariel
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[10] Eigenvalues of the discrete p-Laplacian for graphs
Amghibech, S
ARS COMBINATORIA, 2003, 67 : 283 - 302

← 1 2 3 4 5 →