Classification theory of Riemannian manifolds : harmonic, quasiharmonic, and biharmonic functions
著者
書誌事項
Classification theory of Riemannian manifolds : harmonic, quasiharmonic, and biharmonic functions
（Lecture notes in mathematics, 605）
Springer-Verlag, 1977
- : Berlin
- : New York
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注記
Bibliography: p. [473]-484
Includes indexes
内容説明・目次
目次
Preface and historical note.- Laplace-Beltrami operator.- Harmonic functions.- Quasiharmonic functions.- Bounded biharmonic functions.- Dirichlet finite biharmonic functions.- Bounded dirichlet finite biharmonic functions.- Harmonic, quasiharmonic, and biharmonic degeneracies.- Riesz representation of biharmonic functions.- Biharmonic Green's function ?.- Biharmonic Green's function ?: Definition and existence.- Relation of O ? N to other null classes.- Hadamard's conjecture on the Green's function of a clamped plate.
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