Ground state solutions for fractional Choquard equations involving upper critical exponent.

In this article, we study the following fractional Choquard equation involving upper critical exponent (− Δ) s u + V (x) u = λ f (x , u) + | x | − μ ∗ | u | 2 μ , s ∗ | u | 2 μ , s ∗ − 2 u , x ∈ R N , where λ > 0 , 0 < s < 1 , (− Δ) s denotes the fractional Laplacian of order s , N > 2 s , 0 < μ < 2 s and 2 μ , s ∗ = 2 N − μ N − 2 s . When V and f are asymptotically periodic in x , we prove that the equation has a ground state solution for large λ by Nehari method. [ABSTRACT FROM AUTHOR]