Positive Solutions for Dirichlet BVP of PDE Involving φp-Laplacian

被引：0
作者：
Xiong, Feng [1 ,2 ]
Huang, Wentao [1 ]
机构：
[1] Guangxi Normal Univ, Coll Math & Stat, Guilin 541006, Peoples R China
[2] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 03期
关键词：
bvp; positive solutions; pde; phi(p)-Laplacian; critical point theory; BOUNDARY-VALUE PROBLEM; NONLINEAR DIFFERENCE-EQUATIONS; MULTIPLE SOLUTIONS; SUBHARMONIC SOLUTIONS; HOMOCLINIC SOLUTIONS; DISCRETE; EXISTENCE;
D O I：
10.3390/fractalfract8030130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence of infinitely many small solutions for problem (f(phi p)) involving phi(p)-Laplacian by exploiting critical point theory. Moreover, the present study first attempts to address discrete Dirichlet problems with phi(p)-Laplacian in relation to some relative existing references. As far as we know, this research of the partial discrete bvp involves phi(p)-Laplacian for the first time. Our results are illustrated with three examples.
引用
收藏
页数：13
相关论文
共 50 条
  • [21] Existence of Positive Solutions for a Coupled System of p-Laplacian Semipositone Hadmard Fractional BVP
    Rao, Sabbavarapu Nageswara
    Singh, Manoj
    Msmali, Ahmed Hussein
    Ahmadini, Abdullah Ali H.
    FRACTAL AND FRACTIONAL, 2023, 7 (07)
  • [22] Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with p-Laplacian
    He, Huiting
    Ousbika, Mohamed
    El Allali, Zakaria
    Zuo, Jiabin
    COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2023, 15 (04): : 598 - 610
  • [23] Multiple solutions to a Dirichlet problem with p-Laplacian and nonlinearity depending on a parameter
    Marano, Salvatore A.
    Papageorgiou, Nikolaos S.
    ADVANCES IN NONLINEAR ANALYSIS, 2012, 1 (03) : 257 - 275
  • [24] Existence of weak solutions for a p-Laplacian problem involving Dirichlet boundary condition
    Dong, Wei
    Xu, Jiafa
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 : 511 - 518
  • [25] Multiplicity theorems for the Dirichlet problem involving the p-Laplacian
    Bonanno, G
    Livrea, R
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (01) : 1 - 7
  • [26] EXISTENCE OF POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE p-LAPLACIAN
    Shang, Xudong
    Zhang, Jihui
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
  • [27] On positive solutions to equations involving the one-dimensional p-Laplacian
    Ruyun Ma
    Yanqiong Lu
    Ahmed Omer Mohammed Abubaker
    Boundary Value Problems, 2013
  • [28] Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros
    Iturriaga, Leonelo
    Lorca, Sebastian
    Massa, Eugenio
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 27 (02): : 763 - 771
  • [29] POSITIVE SOLUTIONS FOR PARAMETRIC p-LAPLACIAN EQUATIONS
    Papageorgiou, Nikolaos S.
    Smyrlis, George
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (05) : 1545 - 1570
  • [30] THREE POSITIVE SOLUTIONS TO BVP FOR p-LAPLACIAN IMPULSIVE FUNCTIONAL DYNAMIC EQUATIONS ON A TIME SCALE
    Zhiyu Zhang
    Lijian Yin
    Annals of Applied Mathematics, 2014, (02) : 236 - 243
12345