Existence of three solutions for a Navier boundary value problem involving the (p(x),q(x))-biharmonic

被引：0
作者：
Feng-Li Huang
Guang-Sheng Chen
Yu-Qi Niu
Ti Song
机构：
[1] Guangxi University of Financial and Economics,School of Information & Statistics
[2] Guangxi Modern Vocational Technology College,Department of Construction and Information Engineering
[3] Xuchang University,School of Mathematics and Statistics
[4] Hebei University of Technology,School of Civil Engineering
来源：
Boundary Value Problems | / 2013卷
关键词：
three solutions; -biharmonic; Navier condition; Ricceri’s three critical points theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study (p(x),q(x))-biharmonic systems with Navier boundary condition on a bounded domain and obtain three solutions under appropriate hypotheses. The technical approach is mainly based on the general three critical points theorem obtained by Ricceri.
引用
收藏
相关论文
共 38 条
  • [1] Zhikov VV(1987)Averaging of functionals of the calculus of variations and elasticity theory Math. USSR, Izv 9 33-66
  • [2] Boccardo L(2002)Some remarks on a system of quasilinear elliptic equations Nonlinear Differ. Equ. Appl 9 309-323
  • [3] Figueiredo D(2003)Existence of multiple solutions for quasilinear systems via fibering method J. Differ. Equ 190 239-267
  • [4] Bozhkova Y(2008)Three solutions for a class of quasilinear elliptic systems involving the Nonlinear Anal 69 3322-3329
  • [5] Mitidieri E(2009)-Laplacian Nonlinear Anal 70 135-143
  • [6] Li C(2009)Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the Nonlinear Anal 71 550-557
  • [7] Tang CL(2010)-Laplacian Nonlinear Anal 73 796-805
  • [8] Afrouzi GA(2003)Existence of three solutions for a class of quasilinear elliptic systems involving the Differ. Integral Equ 16 1519-1531
  • [9] Heidarkhani S(2004)-Laplacian Nonlinear Anal 59 695-706
  • [10] Liu JJ(2007)Existence of three solutions for Nonlinear Anal 66 1485-1497
1234