Weighted critical exponents of Sobolev-type embeddings for radial functions

Abstract

In this article, we prove the upper weighted critical exponents for some embeddings from weighted Sobolev spaces of radial functions into weighted Lebesgue spaces. We also consider the lower critical exponent for certain embedding.

Keywords

• embeddings
• critical exponents
• compactness
• primary: 35a23
• 35b33
• 35j20
• 35j62
• 46e35