Existence of multiple solutions for a \(p(x)\)-biharmonic equation. (English) Zbl 1291.35089
Summary: In this article, we show the existence of at least three solutions to a Navier boundary problem involving the \(p(x)\)-biharmonic operator. The technical approach is mainly based on a three critical points theorem by Ricceri.
MSC:
| 35J66 | Nonlinear boundary value problems for nonlinear elliptic equations |
| 35J50 | Variational methods for elliptic systems |
| 35B38 | Critical points of functionals in context of PDEs (e.g., energy functionals) |
