EXISTENCE OF THREE WEAK SOLUTIONS FOR A CLASS OF DISCRETE PROBLEMS DRIVEN BY p-LAPLACIAN OPERATOR

被引：0

作者：

Imbesi, Maurizio ^{[1
]}

Lashkaripour, Rahmatollah ^{[2
]}

Ahmadi, Zahra ^{[2
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, Phys & Earth Sci, Viale F Stagno dAlcontres 31, I-98166 Messina, Italy

[2] Univ Sistan & Baluchestan, Fac Math, Dept Math, Zahedan, Iran

来源：

FIXED POINT THEORY | 2021年 / 22卷 / 01期

关键词：

Discrete boundary value problem; p-Laplacian discrete equations; three solutions; critical point theory; NONLINEAR DIFFERENCE-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; MULTIPLE SOLUTIONS;

D O I：

10.24193/fpt-ro.2021.1.16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using a theorem based on variational method which was recently proved by Ricceri, we establish the existence of three weak solutions for a class of p-Laplacian discrete problems. Remarks and examples are provided to illustrate our result.

引用

页码：231 / 240

页数：10

共 50 条

[1] Existence of solutions for discrete fractional boundary value problems with a p-Laplacian operator
Lv, Weidong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[2] Existence of Solutions for Discrete Fractional Boundary Value Problems with p-Laplacian Operator
Yansheng HE
Chengmin HOU
[J]. Journal of Mathematical Research with Applications, 2014, 34 (02) : 197 - 208
[3] Existence of solutions for discrete fractional boundary value problems with a p-Laplacian operator
Weidong Lv
[J]. Advances in Difference Equations, 2012
[4] On the Existence of Three Nontrivial Solutions for Periodic Problems Driven by the Scalar p-Laplacian
Papageorgiou, Nikolaos S.
Papalini, Francesca
[J]. ADVANCED NONLINEAR STUDIES, 2011, 11 (02) : 455 - 471
[5] The existence and concentration of weak solutions to a class of p-Laplacian type problems in unbounded domains
HE Yi
LI GongBao
[J]. Science China Mathematics, 2014, 57 (09) : 1927 - 1952
[6] The existence and concentration of weak solutions to a class of p-Laplacian type problems in unbounded domains
He Yi
Li GongBao
[J]. SCIENCE CHINA-MATHEMATICS, 2014, 57 (09) : 1927 - 1952
[7] The existence and concentration of weak solutions to a class of p-Laplacian type problems in unbounded domains
Yi He
GongBao Li
[J]. Science China Mathematics, 2014, 57 : 1927 - 1952
[8] Existence of heteroclinic solutions for discrete p-Laplacian problems with a parameter
Cabada, Alberto
Tersian, Stepan
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2429 - 2434
[9] Existence of solutions of fractional boundary value problems with p-Laplacian operator
Mahmudov, Nazim I.
Unul, Sinem
[J]. BOUNDARY VALUE PROBLEMS, 2015,
[10] Existence of positive solutions for boundary value problems with p-Laplacian operator
Torres, Francisco J.
[J]. MATHEMATICA SLOVACA, 2022, 72 (04) : 1091 - 1109

← 1 2 3 4 5 →