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arxiv: 0811.4255 · v1 · submitted 2008-11-26 · 🧮 math.AP · math.DG

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

classification 🧮 math.AP math.DG
keywords curvaturescalarsolutionsspherewebsterassumptionsasymptoticbehaviors
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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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