Biharmonic and Potential Functions and Their Applications

The following theories were systematically developed: (1) Harmonic classification theory of Riemannian manifolds, (2) Quasiharmonic classification theory of Riemannian manifolds, (3) Theory of bounded biharmonic functions of Riemannian manifolds, (4) Dirichlet finite biharmonic functions, (5) Bounde...

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Bibliographic Details
Main Author: Sario,Leo
Format: Report
Language:English
Subjects:
BIBLIOGRAPHIES
BIHARMONIC FUNCTIONS
CLASSIFICATION
Classification theory
DIRICHLET INTEGRAL
GREENS FUNCTIONS
Numerical Mathematics
RESEARCH MANAGEMENT
Riemannian manifolds
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Summary:The following theories were systematically developed: (1) Harmonic classification theory of Riemannian manifolds, (2) Quasiharmonic classification theory of Riemannian manifolds, (3) Theory of bounded biharmonic functions of Riemannian manifolds, (4) Dirichlet finite biharmonic functions, (5) Bounded Dirichlet finite biharmonic functions, (6) Riesz representation of biharmonic functions, (7) Green's functions of simply supported bodies, (8) Green's functions of clamped bodies. These theories were published in the 83 papers listed in Sections II-IV, and the research monograph described in Section V. (Author)