Peak Solutions for the fractional Nirenberg problem

2014/02/03 by Chen, Yan-Hong, Zheng, Youquan
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1402.0356

Abstract

In this paper, the fractional order curvature equation (-Δ)^γu = (1 + ε K(x))u^{(N + 2γ)/(N - 2γ)} in ℝ^N is considered. Assuming K(x) has two critical points satisfying certain local conditions, we prove the existence of two-peak solutions.

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