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Classification Theory of Riemannian Manifolds [electronic resource] : Harmonic, quasiharmonic and biharmonic functions / by Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung.
Material type:
TextSeries: Lecture Notes in Mathematics ; 605Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1977Description: XXII, 502 p. online resourceContent type: - text
- computer
- online resource
- 9783540372615
- 510 23
- QA1-939
Contents:
In:
Springer eBooks
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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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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