Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/6477
Title: Existence relations between harmonic and biharmonic Green's functions
Authors: Nakai, Mitsuru
Sario, Leo
Issue Date: 1977
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source: Mitsuru Nakai, Leo Sario, "Existence relations between harmonic and biharmonic Green's functions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 9 (1977), pp. 6-20.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
9 (1977)
Abstract: 
Su una varietà di Riemann siano $\beta$ e $\gamma$ due funzioni
biarmoniche di Green caratterizzate dalle condizioni iniziali di Dirichlet
$\beta=\partial\beta/\partial n=0$ e $\gamma=\Delta\gamma=0$ sul
contorno ideale di M, e sia g la funzione armonica di Green su M.
In questo lavoro ci occupiamo delle relazioni tra le classi $N_{\beta}^{N},N_{\gamma}^{N},N_{g}^{N},$
di N-varietà di Riemann che non portano $\beta,\gamma,g$ rispettivamente.

On a Riemannian manifold M let $\beta$ and $\gamma$ be the biharmonic
Green\textquoteright{}s functions characterized by Dirichlet data
$\beta=\partial\beta/\partial n=0$ and $\gamma=\Delta\gamma=0$ at
the ideal boundary of M, and let g the harmonic Green\textquoteright{}
s function on M. In this paper we are interested in relations between
the classes $N_{\beta}^{N},N_{\gamma}^{N},N_{g}^{N},$ of Riemannian
N-manifolds which do not carry $\beta,\gamma,g$ respectively.
Type: Article
URI: http://hdl.handle.net/10077/6477
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.09 (1977)

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