On the Webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry

2008/11/26 by Cao, Daomin, Peng, Shuangjie, Yan, Shusen · 1 citation
#35H20 #35J20 #35J60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0811.4255

Abstract

By variational methods, for a kind of Webster scalar curvature problems on the CR sphere with cylindrically symmetric curvature, we construct some multi-peak solutions as the parameter is sufficiently small under certain assumptions. We also obtain the asymptotic behaviors of the solutions.

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