Existence of two non-zero weak solutions for a \(p(\cdot)\)-biharmonic problem with Navier boundary conditions. (English) Zbl 1534.35127
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 3, 727-743 (2023).
Summary: In this paper, the existence of non-trivial weak solutions for some problems with Navier boundary conditions driven by the \(p(\cdot)\)-biharmonic operator is investigated. The proofs combine variational methods with topological arguments.
MSC:
| 35J40 | Boundary value problems for higher-order elliptic equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
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