Fractional Kirchhoff equation with a general critical nonlinearity

2017/04/10 by Jin, Hua, Liu, Wenbin
#35A15 #35B33 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.02705

Abstract

In this paper, we study the fractional Kirchhoff equation with critical nonlinearity (a+b∫_{\mathbb R^N}|(-Δ)^(s)/(2)u|²dx)(-Δ)^su+u=f(u) in \mathbb R^N, where N>2s and (-Δ)^s is the fractional Laplacian with 0

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