Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p1 , . . . , pn)-Laplacian Operator

被引：1
作者：
Hadjian, Armin [1 ]
Shakeri, Saleh [1 ]
机构：
[1] Islamic Azad Univ, Ayatollah Amoli Branch, Dept Math, Amol, Iran
来源：
SCIENTIFIC WORLD JOURNAL | 2013年
关键词：
(P;
D O I：
10.1155/2013/767989
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Existence results of three weak solutions for a Dirichlet double eigenvalue quasilinear elliptic system involving the (p(1) , . . . , p(n))-Laplacian operator, under suitable assumptions, are established. Our main tool is based on a recent three-critical-point theorem obtained by Ricceri. We also give some examples to illustrate the obtained results.
引用
收藏
页数：7
相关论文
共 15 条
  • [1] [Anonymous], 2010, Encyclopedia of Mathematics and its Applications
  • [2] Multiple symmetric solutions for a Neumann problem with lack of compactness
    Bisci, Giovanni Molica
    Radulescu, Vicentiu
    [J]. COMPTES RENDUS MATHEMATIQUE, 2013, 351 (1-2) : 37 - 42
  • [3] Multiple solutions of generalized Yamabe equations on Riemannian manifolds and applications to Emden-Fowler problems
    Bonanno, Gabriele
    Bisci, Giovanni Molica
    Radulescu, Vicentiu
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (05) : 2656 - 2665
  • [4] Bonanno G, 2011, DYNAM SYST APPL, V20, P89
  • [5] Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces
    Bonanno, Gabriele
    Bisci, Giovanni Molica
    Radulescu, Vicentiu
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (14) : 4785 - 4795
  • [6] Three weak solutions for elliptic Dirichlet problems
    Bonanno, Gabriele
    Bisci, Giovanni Molica
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (01) : 1 - 8
  • [7] On the structure of the critical set of non-differentiable functions with a weak compactness condition
    Bonanno, Gabriele
    Marano, Salvatore A.
    [J]. APPLICABLE ANALYSIS, 2010, 89 (01) : 1 - 10
  • [8] Felmer P., 1998, TOPOL METHOD NONL AN, V12, P207, DOI [10.12775/TMNA.1998.038, DOI 10.12775/TMNA.1998.038]
  • [9] Ghergu M., 2008, Singular Elliptic Problems: Bifurcation and Asymptotic Analysis, V37
  • [10] A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system
    Graef, John R.
    Heidarkhani, Shapour
    Kong, Lingju
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (02) : 1268 - 1278
12