On the solutions of the (p, q)-Laplacian problem at resonance

被引：28

作者：

Benouhiba, Nawel ^{[1
]}

Belyacine, Zahia ^{[1
]}

机构：

[1] Badji Mokhtar Annaba Univ, Lab Appl Math, El Hadjar 23000, Annaba, Algeria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 77卷

关键词：

(p; q)-Laplacian; Resonance problem; Monotone operators; EIGENVALUE PROBLEMS;

D O I：

10.1016/j.na.2012.09.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a resonance problem driven by a nonhomogeneous operator and a Caratheodory reaction f (., .). Using a variant of the monotone operator theorem, we show that the problem has at least a nontrivial solution. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：74 / 81

页数：8

共 50 条

[1] Multiple solutions for a (p, q)-Laplacian Steklov problem
Boukhsas, A.
Zerouali, A.
Chakrone, O.
Karim, B.
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2020, 47 (02): : 357 - 368
[2] Two positive solutions for a Dirichlet problem with the (p,q)-Laplacian
Sciammetta, Angela
Tornatore, Elisabetta
MATHEMATISCHE NACHRICHTEN, 2020, 293 (05) : 1004 - 1013
[3] Two Weak Solutions for a Singular (p, q)-Laplacian Problem
Behboudi, F.
Razani, A.
FILOMAT, 2019, 33 (11) : 3399 - 3407
[4] Existence of weak solutions for a class of (p, q)-Laplacian systems on resonance
Ou, Zeng-Qi
APPLIED MATHEMATICS LETTERS, 2015, 50 : 29 - 36
[5] Asymptotic behaviour as p →& ∞ of least energy solutions of a (p, q(p))-Laplacian problem
Alves, C. O.
Ercole, G.
Pereira, G. A.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 149 (06) : 1493 - 1522
[6] Weak Solutions for a (p(z), q(z))-Laplacian Dirichlet Problem
Nastasi, Antonella
FILOMAT, 2020, 34 (03) : 999 - 1011
[7] On a Positive Solutions for (p, q)-Laplacian Steklov Problem with Two Parameters
Boukhsas, A.
Zerouali, A.
Chakrone, O.
Karim, B.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[8] Existence of periodic solutions for a damped vibration problem with (q, p) - Laplacian
Yang, Xiaoxia
Chen, Haibo
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2014, 21 (01) : 51 - 66
[9] MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT
Li Gongbao
Zhang Guo
ACTA MATHEMATICA SCIENTIA, 2009, 29 (04) : 903 - 918
[10] MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT
李工宝
张国
ActaMathematicaScientia, 2009, 29 (04) : 903 - 918

← 1 2 3 4 5 →