On the Webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2008
- DOI:
- 10.48550/arXiv.0811.4255
- arXiv:
- arXiv:0811.4255
- Bibcode:
- 2008arXiv0811.4255C
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry;
- 35J20;
- 35H20;
- 35J60