Multiplicity of solutions for p(x)-polyharmonic elliptic Kirchhoff equations

被引：231
|
作者：
Colasuonno, Francesca [1 ,2 ]
Pucci, Patrizia [1 ]
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy
[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期
关键词：
p(x)-polyharmonic Kirchhoff equations; Existence of multiple solutions; Symmetric mountain pass theorems; SOBOLEV SPACES; GENERALIZED LEBESGUE; POSITIVE SOLUTIONS; EXISTENCE; EMBEDDINGS; P(X)-LAPLACIAN;
D O I：
10.1016/j.na.2011.05.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic p(x)-polyharmonic Kirchhoff equations, including the new delicate degenerate case, not yet covered in the literature. The main tool is the symmetric mountain pass theorem of Ambrosetti and Rabinowitz. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：5962 / 5974
页数：13
相关论文
共 50 条
  • [41] Multiplicity of nontrivial solutions for a class of fractional Kirchhoff equations
    Shao, Liuyang
    Chen, Haibo
    Pang, Yicheng
    Wang, Yingmin
    AIMS MATHEMATICS, 2024, 9 (02): : 4135 - 4160
  • [42] Multiplicity and concentration of solutions for Kirchhoff equations with exponential growth
    Sun, Xueqi
    Fu, Yongqiang
    Liang, Sihua
    BULLETIN OF MATHEMATICAL SCIENCES, 2024,
  • [43] Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field
    Ji, Chao
    Radulescu, Vicentiu D.
    ADVANCED NONLINEAR STUDIES, 2021, 21 (03) : 501 - 521
  • [44] Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents
    Chu, Changmu
    Xie, Yanling
    Zhou, Dizhi
    OPEN MATHEMATICS, 2023, 21 (01):
  • [45] Existence and multiplicity of solutions for fractional p(x)-Kirchhoff-type problems
    Hao, Zhiwei
    Zheng, Huiqin
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3309 - 3321
  • [46] Existence and Multiplicity of Solutions for p(x)-Kirchhoff-Type Problem in RN
    Wei, Mei-Chun
    Tang, Chun-Lei
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 767 - 781
  • [47] Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory
    Xu, Liping
    Chen, Haibo
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 12
  • [48] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A p(x)-KIRCHHOFF TYPE EQUATION WITH STEKLOV BOUNDARY
    Yucedag, Zehra
    MISKOLC MATHEMATICAL NOTES, 2024, 25 (01) : 523 - 536
  • [49] Multiple Solutions for a Critical p(x)-Kirchhoff Type Equations
    Tsouli, Najib
    Haddaoui, Mustapha
    Hssini, El Miloud
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (04): : 197 - 211
  • [50] Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical growth in RN
    Liang, Sihua
    Zhang, Jihui
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (11)
12345