Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings

Abstract

We deal with a class of inhomogeneous elliptic problems involving the biharmonic operator Δ2u + V(|x|)|u|q-2u = Q(|x|)f(u), u ∈ D02,2(ℝN), where Δ2 is the biharmonic operator and V, Q are singular continuous functions. Compact embedding results are established and by using these facts some existence results are obtained.

Keywords

• biharmonic
• existence
• variational methods
• compact embedding
• 35j35
• 35b15
• 46e335
• 11j20