An eigenvalue problem for the Dirichlet (p, q)-Laplacian

被引：0

作者：

Gasinski, Leszek ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Pedag Univ Cracow, Dept Math, Krakow, Poland

[2] Natl Tech Univ Athens, Dept Math, Athens, Greece

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 07期

关键词：

Cut-off and bump functions; nonlinear regularity theory; truncation; global multiplicity of solutions; DEGENERATE ELLIPTIC EQUATION; POSITIVE SOLUTIONS;

D O I：

10.1080/17476933.2023.2199210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an eigenvalue problem for the Dirichlet (p, q)-Laplacian. Using truncations and variational tools we prove a global multiplicity result producing at least two positive solutions.

引用

页码：1214 / 1223

页数：10

共 50 条

[31] A Numerical study of the Dirichlet and Neumann eigenvalue problem of the Laplacian on cusp domains
Lui, S. H.
JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2013, 13 (5-6) : 433 - 437
[32] LOCAL STABILITY OF THE 1ST EIGENVALUE OF LAPLACIAN FOR THE DIRICHLET PROBLEM
SHIMAKURA, N
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (13): : 617 - 619
[33] A Class of p-q-Laplacian Type Equation with Potentials Eigenvalue Problem in RN
Wu, Mingzhu
Yang, Zuodong
BOUNDARY VALUE PROBLEMS, 2009,
[34] A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator
Zhai, Chengbo
Ren, Jing
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (03): : 482 - 501
[35] On the p(x)-Laplacian Robin eigenvalue problem
Deng, Shao-Gao
Wang, Qin
Cheng, Shijuan
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5643 - 5649
[36] Eigenvalue Problem For Perturbated p-Laplacian
Latifi, Mehdi
Alimohammady, Mohsen
THAI JOURNAL OF MATHEMATICS, 2022, 20 (01): : 35 - 54
[37] On the nonlinear dirichlet problem with p(x)-Laplacian
Galewski, Marek
Plocienniczak, Marek
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 75 (03) : 381 - 395
[38] An eigenvalue optimization problem for the p-Laplacian
Chorwadwala, Anisa M. H.
Mahadevan, Rajesh
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2015, 145 (06) : 1145 - 1151
[39] An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
Wisniewski, Damian
Bodzioch, Mariusz
ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2016, 15 : 27 - 36
[40] A solution of a nonstandard Dirichlet Finsler (p,q)-Laplacian
Razani, Abdolrahman
FILOMAT, 2024, 38 (23) : 8131 - 8139

← 1 2 3 4 5 →