Classification Theory of Riemannian Manifolds
Harmonic, Quasiharmonic and Biharmonic Functions
Published on 1. August 1977
Book
Paperback/Softback
XXII, 502 pages
978-3-540-08358-0 (ISBN)
Description
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.
More details
Series
Edition
1977 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XXII, 502 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 28 mm
Weight
779 gr
ISBN-13
978-3-540-08358-0 (9783540083580)
DOI
10.1007/BFb0064417
Schweitzer Classification
Content
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.