Ground states for p-fractional Choquard-type equations with critical local nonlinearity and doubly critical nonlocality

2023/05/01 by Sakuma, Masaki
#35J92 (Primary) 35A15 #47J30 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.00897

Abstract

We consider a p-fractional Choquard-type equation (-Δ)_p^s u+a|u|^p-2u=b(K∗ F(u))F'(u)+ε_g |u|^p_g-2u \quadin ℝ^N, where 0

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