Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations

Abstract

In this work, we study the existence of a positive solution to an elliptic equation involving the fractional Laplacian (−Δ)s in ℝn, for n ≥ 2, such as

Keywords

• sobolev-slobodeckij spaces
• compact embedding
• fractional laplacian
• positive solutions
• primary 46e35
• 35r11
• secondary 35j20
• 35p05