Doubly Critical Problems Involving Fractional Laplacians in ℝN

Abstract

In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians. Our approach is elementary without the use of neither the concentration-compactness principle nor the extension argument developed in [4].

Keywords

• doubly critical problem
• existence
• entire space
• 35j25
• 47g30
• 35b45
• 35j70