On the superlinear Steklov problem involving the p(x)-Laplacian

被引:0
|
作者
Ayoujil, Abdesslem [1 ,2 ]
机构
[1] Reg Ctr Trades Educ & Training, Oujda, Morocco
[2] Univ Mohamed I, Fac Sci, Dept Math, Oujda, Morocco
关键词
variational method; nonstandard growth conditions; generalized Sobolev spaces; Cerami condition; THEOREMS; EXISTENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the existence and multiplicity of solutions for p(x)-Laplacian Steklov problem without the well-known Ambrosetti-Rabinowitz type growth conditions. By means of critical point theorems with Cerami condition, under weaker conditions, existence and multiplicity results of the solutions are proved.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 50 条
  • [1] On the superlinear problem involving the p(x)-Laplacian
    Ji, Chao
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (40) : 1 - 9
  • [2] Existence of solutions for a Steklov problem involving the p(x)-Laplacian
    Anane, Aomar
    Chakrone, Omar
    Zerouali, Abdellah
    Karim, Belhadj
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (01): : 205 - 213
  • [3] STEKLOV PROBLEMS INVOLVING THE p(x)-LAPLACIAN
    Afrouzi, Ghasem A.
    Hadjian, Armin
    Heidarkhani, Shapour
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [4] Eigenvalues of the p(x)-Laplacian Steklov problem
    Deng, Shao-Gao
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (02) : 925 - 937
  • [5] Resonant Steklov eigenvalue problem involving the (p, q)-Laplacian
    A. Zerouali
    B. Karim
    O. Chakrone
    A. Boukhsas
    [J]. Afrika Matematika, 2019, 30 : 171 - 179
  • [6] THREE SOLUTIONS TO A STEKLOV PROBLEM INVOLVING THE WEIGHTED p(.)-LAPLACIAN
    Aydin, Ismail
    Unal, Cihan
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (01) : 67 - 76
  • [7] Resonant Steklov eigenvalue problem involving the (p, q)-Laplacian
    Zerouali, A.
    Karim, B.
    Chakrone, O.
    Boukhsas, A.
    [J]. AFRIKA MATEMATIKA, 2019, 30 (1-2) : 171 - 179
  • [8] Nonhomogeneous p(x)-Laplacian Steklov problem with weights
    Hsini, Mounir
    Irzi, Nawal
    Kefi, Khaled
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (03) : 440 - 454
  • [9] A (p(x), q(x))-Laplacian Problem with the Steklov Boundary Conditions
    Razani, A.
    Safari, F.
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (12) : 3616 - 3625
  • [10] THE ASYMPTOTIC BEHAVIOUR OF THE p(x)-LAPLACIAN STEKLOV EIGENVALUE PROBLEM
    Yu, Lujuan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (07): : 2621 - 2637