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

• Published : 2013.11.30
• 37 5

#### 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

p(x)-biharmonic;three solutions;existence

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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

#### Acknowledgement

Supported by : Natural Science Foundation