Classification Theory of Riemannian Manifolds
Sario, Leo.
Classification Theory of Riemannian Manifolds Harmonic, quasiharmonic and biharmonic functions / [electronic resource] : by Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung. - XXII, 502 p. online resource. - Lecture Notes in Mathematics, 605 0075-8434 ; . - Lecture Notes in Mathematics, 605 .
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.
9783540372615
10.1007/BFb0064417 doi
Mathematics.
Mathematics, general.
QA1-939
510
Classification Theory of Riemannian Manifolds Harmonic, quasiharmonic and biharmonic functions / [electronic resource] : by Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung. - XXII, 502 p. online resource. - Lecture Notes in Mathematics, 605 0075-8434 ; . - Lecture Notes in Mathematics, 605 .
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.
9783540372615
10.1007/BFb0064417 doi
Mathematics.
Mathematics, general.
QA1-939
510