Existence of three solutions for a Navier boundary value problem involving the $p(x)$-biharmonic operator
Volume 109 / 2013
Annales Polonici Mathematici 109 (2013), 47-58
MSC: Primary 35D05; Secondary 35J60.
DOI: 10.4064/ap109-1-4
Abstract
The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the $p(x)$-biharmonic operator with Navier boundary value conditions. The proof is mainly based on a three critical points theorem due to B. Ricceri [Nonlinear Anal. 70 (2009), 3084–3089].
