On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri’s theorem. (English) Zbl 1541.35186
Summary: In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem. Moreover, we give some compact embeddings in variable exponent Sobolev spaces with second order to prove the main idea.
MSC:
| 35J40 | Boundary value problems for higher-order elliptic equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A15 | Variational methods applied to PDEs |
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