| Title:
|
Biharmonic Green domains in a Riemannian manifold (English) |
| Author:
|
Othman, S. I. |
| Author:
|
Anandam, V. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
359-365 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $R$ be a Riemannian manifold without a biharmonic Green function defined on it and $\Omega $ a domain in $R$. A necessary and sufficient condition is given for the existence of a biharmonic Green function on $\Omega $. (English) |
| Keyword:
|
biharmonic Green functions |
| MSC:
|
31B30 |
| MSC:
|
31C12 |
| idZBL:
|
Zbl 1127.31301 |
| idMR:
|
MR2026170 |
| . |
| Date available:
|
2009-01-08T19:29:48Z |
| Last updated:
|
2020-02-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119392 |
| . |
| Reference:
|
[1] Anandam V.: Biharmonic Green functions in a Riemannian manifold.Arab J. Math. Sc. 4 (1998), 39-45. Zbl 0942.31005, MR 1679626 |
| Reference:
|
[2] Anandam V., Damlakhi M.: Biharmonic Green domains in $\Bbb R^n$.Hokkaido Math. J. 27 (1998), 669-680. MR 1662962, 10.14492/hokmj/1351001468 |
| Reference:
|
[3] Anandam V.: Biharmonic classification of harmonic spaces.Rev. Roumaine Math. Pures Appl. 45 (2000), 383-395. Zbl 0990.31003, MR 1840160 |
| Reference:
|
[4] Brelot M.: Fonctions sousharmoniques associées à une mesure.Stud. Cerc. Şti. Mat. Iaşi 2 (1951), 114-118. Zbl 0081.31601, MR 0041989 |
| Reference:
|
[5] Brelot M.: Axiomatique des fonctions harmoniques.Les presses de l'Université de Montréal, 1966. Zbl 0148.10401, MR 0247124 |
| Reference:
|
[6] Loeb P.A.: An axiomatic treatment of pairs of elliptic differential equations.Ann. Inst. Fourier 16 (1966), 167-208. Zbl 0172.15101, MR 0227455, 10.5802/aif.240 |
| Reference:
|
[7] Othman S.I., Anandam V.: Liouville-Picard theorem in harmonic spaces.Hiroshima Math. J. 28 (1998), 501-506. Zbl 0915.31008, MR 1657539, 10.32917/hmj/1206126679 |
| Reference:
|
[8] Sario L., Nakai M., Wang C., Chung L.O.: Classification theory of Riemannian manifolds.Lecture Notes in Math. 605, Springer-Verlag, 1977. Zbl 0355.31001, MR 0508005 |
| . |
