Multi-bump solutions for fractional Nirenberg problem

2016/12/13 by Chungen Lıu, Liu, Chungen, Qiang Ren +1
Computer Science · Mathematics · #35B25 #35B33 #35R11 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1612.04008

openalex publication_date 2016/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the multi-bump solutions of the following fractional Nirenberg problem (-Δ)^s u=K(x)u^{(n+2s)/(n-2s)}, ugt;0 in ℝⁿ, where s∈ (0,1) and n>2+2s. If K is a periodic function in some k variables with 1≤ k

Citations

• Uniqueness theorems through the method of moving spheres

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