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

Classification Theory of Riemannian Manifolds (eBook, PDF)

Harmonic, Quasiharmonic and Biharmonic Functions

• Format: PDF

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 502
• Erscheinungstermin: 15. November 2006
• Englisch
• ISBN-13: 9783540372615
• Artikelnr.: 54142233

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.