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  • 醉染图书流形上的特征值问题9787030525680
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    • 作者: 毛井,杜锋,吴传喜 著著 | 毛井,杜锋,吴传喜 著编 | 毛井,杜锋,吴传喜 著译 | 毛井,杜锋,吴传喜 著绘
    • 出版社: 科学出版社
    • 出版时间:2017-07-01
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    • 作者: 毛井,杜锋,吴传喜 著著| 毛井,杜锋,吴传喜 著编| 毛井,杜锋,吴传喜 著译| 毛井,杜锋,吴传喜 著绘
    • 出版社:科学出版社
    • 出版时间:2017-07-01
    • 页数:180
    • 开本:16开
    • ISBN:9787030525680
    • 国别/地区:中国
    • 版权提供:科学出版社
    • 作者:毛井,杜锋,吴传喜 著
    • 著:毛井,杜锋,吴传喜 著
    • 装帧:平装
    • 印次:暂无
    • 定价:78.00
    • ISBN:9787030525680
    • 出版社:科学出版社
    • 开本:16开
    • 印刷时间:暂无
    • 语种:暂无
    • 出版时间:2017-07-01
    • 页数:180
    • 外部编号:1201514172
    • 版次:暂无
    • 成品尺寸:暂无

    Chapter 1 Introduction
    Chapter 2 Eigenvalue comparison theorems
    2.1 Basic notions and the geometry of spherically symmetric manifolds
    2.2 A generalized eigenvalue comparison theorem for manifolds with radial Ricci curvature bounde fo below
    . A generalized eigenvalue comparison theorem for manifolds with radial sectional curvature bounde fo above
    2.4 Properties of the model manifolds
    2.5 Examples
    2.6 A criterion for the existence of the model spaces
    2.7 Estimates for the heat kernel
    2.8 A Cheng—type isoperimetric inequality for the p—Laplace operator and a spectral result for the model spaces
    2.9 Proof of Theorem .4
    2.10 Estimates for the first eigenvalue of the p—Laplacian
    Chapter 3 Estimates for lower eigenvalues
    3.1 Reilly—type inequalities for the first nonzero closed eigenvalue of the p—Laplacian
    3.2 Isoperimetric bounds for the first eigenvalue of the p—Laplacian
    3.3 Isoperimetric bounds for the first eigenvalue of the Paneitz operators
    3.4 Lower bounds for the first eigenvalue of four kinds of eigenvalue problems of the bi—drifting Laplacian
    Chapter 4 Universal Inequalities
    4.1 Universal inequalities of the clamped plate problem of the drifting Laplacian
    4.1.1 Recent developments for universal inequalities of the clamped plate problem
    4.1.2 The clamped plate problem of the drifting Laplacian
    4.1.3 Universal inequalities for the clamped plate problem of the drifting Laplacian
    4.1.4 Universal inequalities on the Gaussian shrinking soliton
    4.2 Universal inequalities for the buckling problem of the drifting Laplacian
    4.2.1 Recent developments for universal inequalities of the buckling problem
    4.2.2 The buckling problem of the drifting Laplacian
    4.. A general inequality on the Ricci solitons
    4.2.4 Universal inequalities in a bounded domain on Ricci solitons
    4.3 Further study
    4.3.1 Some interesting conjectures
    4.3.2 Some Problems
    Chapter 5 Open problems
    5.1 Spectral problem concerning quantum strips and quantum layers
    5.2 Connection between curvature flows and eigenvalue problem
    5.3 Eigenvalue problem in Finsler geometry
    Appendix A Warped products
    Bibliography

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