Bulletin of the Korean Mathematical Society (대한수학회보)

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EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC

  • Yin, Honghui (School of Mathematical Sciences Huaiyin Normal University) ;
  • Liu, Ying (School of Mathematical Sciences Huaiyin Normal University)
  • Received : 2011.10.09
  • Published : 2013.11.30
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Abstract

The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Ricceri [11].

Keywords

Acknowledgement

Supported by : Natural Science Foundation

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Cited by

  1. On a p(⋅)-biharmonic problem with no-flux boundary condition vol.72, pp.9, 2016, https://doi.org/10.1016/j.camwa.2016.09.017
  2. Existence of one weak solution for p(x)-biharmonic equations with Navier boundary conditions vol.67, pp.3, 2016, https://doi.org/10.1007/s00033-016-0668-5