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 Greens function ?.- Biharmonic Greens function ?: Definition and existence.- Relation of O ? N to other null classes.- Hadamards conjecture on the Greens function of a clamped plate.
