Multiplicity results of \((p(x),q(x))\) biharmonic operator with Navier boundary conditions. (Chinese. English summary) Zbl 1340.31012
Summary: This paper proves the existence of at least three solutions to a Navier boundary value problem involving the \((p(x), q(x))\) biharmonic operator. The main results are new. The technical approach is mainly based on a three critical points theorem.
MSC:
| 31B30 | Biharmonic and polyharmonic equations and functions in higher dimensions |
| 35J60 | Nonlinear elliptic equations |
| 35B38 | Critical points of functionals in context of PDEs (e.g., energy functionals) |
| 35D30 | Weak solutions to PDEs |
