Classification Theory of Riemannian Manifolds

Harmonic, Quasiharmonic and Biharmonic Functions

von L. O. Chung, S. R. Sario, C. Wang, M. Nakai

520 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540083580
• Sprache: Englisch
• Erscheinungsdatum: 01.08.1977
• Größe: 235 x 155 mm
• Verlag: Springer