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Classification Theory of Riemannian Manifolds: Harmonic, Quasiharmonic and Biharmonic Functions de S. R. Sario

Classification Theory of Riemannian Manifolds: Harmonic, Quasiharmonic and Biharmonic Functions: Lecture Notes in Mathematics, cartea 605

Autor S. R. Sario, M. Nakai, C. Wang, L. O. Chung
en Limba Engleză Paperback – aug 1977

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Specificații

ISBN-13: 9783540083580
ISBN-10: 3540083588
Pagini: 520
Ilustrații: XXII, 502 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.72 kg
Ediția:1977
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.