Ebook: Classification Theory of Riemannian Manifolds: Harmonic, quasiharmonic and biharmonic functions

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Content:
Front Matter....Pages -
Preface and historical note....Pages 1-11
Laplace-Beltrami operator....Pages 12-25
Harmonic functions....Pages 26-70
Quasiharmonic functions....Pages 71-136
Bounded biharmonic functions....Pages 137-186
Dirichlet finite biharmonic functions....Pages 187-215
Bounded dirichlet finite biharmonic functions....Pages 216-236
Harmonic, quasiharmonic, and biharmonic degeneracies....Pages 237-244
Riesz representation of biharmonic functions....Pages 245-297
Biharmonic Green’s function ?....Pages 298-339
Biharmonic Green’s function ?: Definition and existence....Pages 340-382
Relation of O ? N to other null classes....Pages 383-443
Hadamard’s conjecture on the Green’s function of a clamped plate....Pages 444-472
Back Matter....Pages -

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Content:
Front Matter....Pages -
Preface and historical note....Pages 1-11
Laplace-Beltrami operator....Pages 12-25
Harmonic functions....Pages 26-70
Quasiharmonic functions....Pages 71-136
Bounded biharmonic functions....Pages 137-186
Dirichlet finite biharmonic functions....Pages 187-215
Bounded dirichlet finite biharmonic functions....Pages 216-236
Harmonic, quasiharmonic, and biharmonic degeneracies....Pages 237-244
Riesz representation of biharmonic functions....Pages 245-297
Biharmonic Green’s function ?....Pages 298-339
Biharmonic Green’s function ?: Definition and existence....Pages 340-382
Relation of O ? N to other null classes....Pages 383-443
Hadamard’s conjecture on the Green’s function of a clamped plate....Pages 444-472
Back Matter....Pages -
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