Classification Theory of Riemannian Manifolds [electronic resource] : Harmonic, quasiharmonic and biharmonic functions / by Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung.

By: Sario, Leo [author.]Contributor(s): Nakai, Mitsuru [author.] | Wang, Cecilia [author.] | Chung, Lung Ock [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 605Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1977Description: XXII, 502 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540372615Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access online
Contents:
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.
In: Springer eBooks
Item type: E-BOOKS
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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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