POSITIVE SOLUTIONS FOR THE PERIODIC SCALAR p-LAPLACIAN: EXISTENCE AND UNIQUENESS

被引：1

作者：

Kyritsi, Sophia Th. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Hellen Naval Acad, Dept Math, Piraeus 18539, Greece

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 04期

关键词：

Scalar p-Laplacian; Unilateral growth; Existence and uniqueness of positive solutions; Weighted eigenvalues; EIGENVALUES;

D O I：

10.11650/twjm/1500406738

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlinear periodic problem driven by the scalar p-Laplacian. The reaction term is a Caratheodory function f (t, x) which satisfies only a unilateral growth condition in the x-variable. Assuming strict monotonicity for the quotient f (t, x)/x(p-1)using variational methods coupled with suitable truncation techniques, we produce necessary and sufficient conditions for the existence and uniqueness of positive solutions.

引用

页码：1345 / 1361

页数：17

共 50 条

[41] Existence and multiplicity of positive solutions for nonlinear boundary value problems driven by the scalar p-Laplacian
Filippakis, ME
Papageorgiou, NS
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2004, 3 (04) : 729 - 756
[42] Existence of Periodic Solutions for a Nonlinear Discrete p-Laplacian System
Dimitrov, Nikolay D.
PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE "APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS", 2018, 2048
[43] Existence of Periodic Solutions for p-Laplacian Equations on Time Scales
Cao, Fengjuan
Han, Zhenlai
Sun, Shurong
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[44] Existence of Solutions for Asymptotically Periodic Fractional p-Laplacian Equations
He, Shuwen
TAIWANESE JOURNAL OF MATHEMATICS, 2024, 28 (02): : 329 - 342
[45] Existence and Multiplicity of Periodic Solutions to Fractional p-Laplacian Equations
Li, Lin
Tersian, Stepan
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 495 - 507
[46] EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS
Kim, Yong-In
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2011, 18 (01): : 87 - 95
[47] Existence of periodic solutions for p-Laplacian neutral Rayleigh equation
Zhi Min He
Jian Hua Shen
Advances in Difference Equations, 2014
[48] Existence of Periodic Solutions for a Class of Difference Systems with p-Laplacian
Chen, Kai
Zhang, Qiongfen
ABSTRACT AND APPLIED ANALYSIS, 2012,
[49] Existence and uniqueness of solutions to a fractional difference equation with p-Laplacian operator
Yongshun Zhao
Shurong Sun
Yongxiang Zhang
Journal of Applied Mathematics and Computing, 2017, 54 : 183 - 197
[50] Existence and multiplicity of periodic solutions for the ordinary p-Laplacian systems
Liao K.
Tang C.-L.
Journal of Applied Mathematics and Computing, 2011, 35 (1-2) : 395 - 406

← 1 2 3 4 5 →