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.
Autorius: | S. R. Sario, L. O. Chung, C. Wang, M. Nakai, |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1977 |
Knygos puslapių skaičius: | 520 |
ISBN-10: | 3540083588 |
ISBN-13: | 9783540083580 |
Formatas: | Knyga minkštu viršeliu |
Kalba: | Anglų |
Žanras: | Mathematics |
Parašykite atsiliepimą apie „Classification Theory of Riemannian Manifolds: Harmonic, Quasiharmonic and Biharmonic Functions“