On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Abstract

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.

Keywords

• p(.)-biharmonic operator
• ricceri’s variational principle
• variational methods
• 35j35
• 46e35
• 35j60
• 47j30