Positive Solutions for Nonlinear Periodic Problems with the Scalar p-Laplacian

被引：3

作者：

Denkowski, Zdzislaw ^{[1
]}

Gasinski, Leszek ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Jagiellonian Univ, Inst Comp Sci, PL-30072 Krakow, Poland

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

来源：

SET-VALUED ANALYSIS | 2008年 / 16卷 / 5-6期

关键词：

Nonsmooth potential; Scalar p-Laplacian; Generalized subdifferential; Weighted eigenvalue problem; Nonuniform nonresonance; Fixed point index;

D O I：

10.1007/s11228-007-0059-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of positive solutions for a nonlinear periodic problem driven by the scalar p-Laplacian and having a nonsmooth potential. We impose a nonuniform nonresonance condition at +infinity and a uniform nonresonance condition at 0(+). Using degree theoretic argument based on a fixed point index for multifunctions, we prove the existence of a strict positive solution.

引用

页码：539 / 561

页数：23

共 50 条

[41] Periodic Solutions for Second Order Equations with the Scalar p-Laplacian and Nonsmooth Potential
Papageorgiou, Nikolaos S.
Yannakakis, Nikolaos
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2004, 47 (01): : 107 - 117
[42] POSITIVE SOLUTIONS FOR SOME GENERALIZED p-LAPLACIAN TYPE PROBLEMS
Candela, Anna Maria
Salvatore, Addolorata
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (07): : 1935 - 1945
[43] Positive stationary solutions for p-Laplacian problems with nonpositive perturbation
Cwiszewski, Aleksander
Maciejewski, Mateusz
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (03) : 1120 - 1136
[44] Multiple solutions for two nonlinear problems involving the p-Laplacian
Faraci, Francesca
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E1017 - E1029
[45] Positive periodic solutions for p-Laplacian neutral differential equations with a singularity
Zhiyan Li
Fanchao Kong
Boundary Value Problems, 2017
[46] Positive periodic solutions for p-Laplacian neutral differential equations with a singularity
Li, Zhiyan
Kong, Fanchao
BOUNDARY VALUE PROBLEMS, 2017,
[47] Notes on Periodic Solutions for a Nonlinear Discrete System Involving the p-Laplacian
Zhang, Xingyong
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (02) : 499 - 509
[48] Multiple positive solutions of nonlinear eigenvalue problems associated to a class of p-laplacian like operators
Fukagai, N
Narukawa, K
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2003, 5 (05) : 737 - 759
[49] Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p-Laplacian
Hongling Lu
Zhenlai Han
Shurong Sun
Jian Liu
Advances in Difference Equations, 2013
[50] Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p-Laplacian
Lu, Hongling
Han, Zhenlai
Sun, Shurong
Liu, Jian
ADVANCES IN DIFFERENCE EQUATIONS, 2013,

← 1 2 3 4 5 →