On the Webster Scalar Curvature Problem on the CR Sphere with a Cylindrical-Type Symmetry

Daomin Cao; Shuangjie Peng; Shusen Yan

doi:10.1007/s12220-012-9301-9

On the Webster Scalar Curvature Problem on the CR Sphere with a Cylindrical-Type Symmetry

Daomin Cao
, Shuangjie Peng
, Shusen Yan

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1674-1702
Journal	Journal of Geometric Analysis
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s12220-012-9301-9
Publication status	Published - 2013

Keywords

Partial Differential Equations

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10.1007/s12220-012-9301-9

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title = "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.",

keywords = "Partial Differential Equations",

author = "Daomin Cao and Shuangjie Peng and Shusen Yan",

year = "2013",

doi = "10.1007/s12220-012-9301-9",

language = "English",

volume = "23",

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journal = "Journal of Geometric Analysis",

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AU - Cao, Daomin

AU - Peng, Shuangjie

AU - Yan, Shusen

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Partial Differential Equations

U2 - 10.1007/s12220-012-9301-9

DO - 10.1007/s12220-012-9301-9

M3 - Article

SN - 1050-6926

VL - 23

SP - 1674

EP - 1702

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 4

ER -

On the Webster Scalar Curvature Problem on the CR Sphere with a Cylindrical-Type Symmetry

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