Existence of solutions for nonlinear Robin problems with the p-Laplacian and hemivariational inequality

被引：0
|
作者：
Zhang, Jing [1 ]
机构：
[1] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
p-Laplacian; nonsmooth potential; hemivariational inequality; sub-sup solution method; second deformation theorem; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS; WEAK SOLUTIONS;
D O I：
10.1186/s13661-014-0257-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show the existence of at least three nontrivial solutions for a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Robin boundary condition. Two of these solutions are of constant sign (one is positive, the other negative). We mainly use a variational approach together with a sub-sup solution method.
引用
收藏
页数：18
相关论文
共 50 条
  • [31] ROBIN PROBLEMS FOR THE p-LAPLACIAN WITH GRADIENT DEPENDENCE
    Fragnelli, Genni
    Mugnai, Dimitri
    Papageorgiou, Nikolaos S.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2019, 12 (02): : 287 - 295
  • [32] EXISTENCE RESULT FOR HEMIVARIATIONAL INEQUALITY INVOLVING p(x)-LAPLACIAN
    Barnas, Sylwia
    OPUSCULA MATHEMATICA, 2012, 32 (03) : 439 - 454
  • [33] Existence of solutions to nonlinear Neumann boundary value problems with p-Laplacian operator and iterative construction
    Wei Li
    Hai-yun Zhou
    Ravi P. Agarwal
    Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 463 - 470
  • [34] 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
  • [35] Existence of Three Nontrivial Smooth Solutions for Nonlinear Resonant Neumann Problems Driven by the p-Laplacian
    Gasinski, Leszek
    Papageorgiou, Nikolaos S.
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2010, 29 (04): : 413 - 428
  • [36] 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,
  • [37] 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
  • [38] Existence of Solutions to a Discrete Problems for Fourth Order Nonlinear p-Laplacian Via Variational Method
    Hammouti, Omar
    El Amrouss, Abdelrachid
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [39] Existence of solutions to nonlinear Neumann boundary value problems with p-Laplacian operator and iterative construction
    Wei, Li
    Zhou, Hai-yun
    Agarwal, Ravi P.
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (03): : 463 - 470
  • [40] Two positive solutions for a nonlinear Robin problem involving the discrete p-Laplacian
    Amoroso, Eleonora
    Candito, Pasquale
    D'Agui, Giuseppina
    DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2022, 15 : 1 - 7
12345