S. R. Sario, M. Nakai, C. Wang

Classification Theory of Riemannian Manifolds

Harmonic, Quasiharmonic and Biharmonic Functions

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 605
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08358-0
• 1977
• Seitenzahl: 520
• Erscheinungstermin: 1. August 1977
• Englisch
• Abmessung: 235mm x 155mm x 28mm
• Gewicht: 812g
• ISBN-13: 9783540083580
• ISBN-10: 3540083588
• Artikelnr.: 23552624

Inhaltsangabe

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.