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Archive | 1970

Dirichlet finite biharmonic functions

Leo Sario; Mitsuru Nakai; Cecilia Wang; Lung Ock Chung

From the class A of analytic functions we proceed to the class H of harmonic functions. The latter are in a sense more flexible than the former and thus easier to treat. In particular the solvability of the Dirichlet problem makes it possible to obtain detailed information on the causes of degeneracy. On the other hand the lack of rigidity results in a great diversity of degeneracy phenomena. To subject them to a systematic treatment it is convenient to start with the class HD of harmonic functions with finite Dirichlet integrals and the corresponding null class 0 HD The close connection with Dirichlet’s principle makes the class 0 HD the most significant one among degeneracy classes related to H.


Archive | 1977

Classification Theory of Riemannian Manifolds

Leo Sario; Mitsuru Nakai; Cecilia Wang; Lung Ock Chung


Archive | 1977

Laplace-Beltrami operator

Leo Sario; Mitsuru Nakai; Cecilia Wang; Lung Ock Chung


Tohoku Mathematical Journal | 1975

HARMONIC AND QUASIHARMONIC DEGENERACY OF RIEMANNIAN MANIFOLDS

Lung Ock Chung; Leo Sario


Journal of the Indian Mathematical Society | 1975

Harmonic L P Functions and Quasiharmonic Degeneracy

Lung Ock Chung; Leo Sario


Kodai Mathematical Journal | 1980

Quasiharmonic

Lung Ock Chung; Leo Sario; Cecilia Wang


Kodai Mathematical Journal | 1980

L^{p}

Lung Ock Chung; Leo Sario; Cecilia Wang


Archive | 1977

functions on the Poincar

Leo Sario; Mitsuru Nakai; Cecilia Wang; Lung Ock Chung


Archive | 1977

N

Leo Sario; Mitsuru Nakai; Cecilia Wang; Lung Ock Chung


Archive | 1977

-ball

Leo Sario; Mitsuru Nakai; Cecilia Wang; Lung Ock Chung

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Leo Sario

University of California

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Cecilia Wang

University of California

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