Classification Theory of Riemannian Manifolds
Harmonic, Quasiharmonic and Biharmonic Functions
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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.
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