Multiple solutions for a nonlocal elliptic problem involving \((p(x), q(x))\)-biharmonic operator. (English) Zbl 1477.35067
Summary: In this paper, using the variational principle, the existence and multiplicity of solutions for \((p(x), q(x))\)-Kirchhoff type problem with Navier boundary conditions are proved. At the same time, the sufficient conditions for the multiplicity of solutions are obtained.
MSC:
| 35D30 | Weak solutions to PDEs |
| 35B38 | Critical points of functionals in context of PDEs (e.g., energy functionals) |
| 35J40 | Boundary value problems for higher-order elliptic equations |
References:
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