Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies

Mitsuru Nakai; Leo Sario

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1976)

  • Volume: 3, Issue: 4, page 665-670
  • ISSN: 0391-173X

How to cite

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Nakai, Mitsuru, and Sario, Leo. "Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 3.4 (1976): 665-670. <http://eudml.org/doc/83733>.

@article{Nakai1976,
author = {Nakai, Mitsuru, Sario, Leo},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {665-670},
publisher = {Scuola normale superiore},
title = {Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies},
url = {http://eudml.org/doc/83733},
volume = {3},
year = {1976},
}

TY - JOUR
AU - Nakai, Mitsuru
AU - Sario, Leo
TI - Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1976
PB - Scuola normale superiore
VL - 3
IS - 4
SP - 665
EP - 670
LA - eng
UR - http://eudml.org/doc/83733
ER -

References

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  1. [1] D. Hada - L. Sario - C. Wang, N-manifolds carrying bounded but no Dirichlet finite harmonic functions, Nagoya Math. J., 54 (1974), pp. 1-6. Zbl0264.31004MR387614
  2. [2] M. Nakai - L. Sario, Parabolic Riemannian planes carrying biharmonic Green's functions of the clamped plate, J. Analyse Math. (to appear). Zbl0332.31006
  3. [3] M. Nakai - L. Sario, A strict inclusion related to biharmonic Green's functions of clamped and simply supported bodies, Ann. Acad. Sci. Fenn. (to appear). Zbl0392.31007
  4. [4] M. Nakai L. Sario, Existence of biharmonic Green's functions (to appear). Zbl0374.31005
  5. [5] M. Nakai - L. Sario, A nonexistence test for biharmonic Green's functions of clamped bodies, Math. Scand. (to appear). Zbl0362.35011
  6. [6] J. Ralston - L. Sario, A relation between biharmonic Green's functions of simply supported and clamped bodies, Nagoya Math. J. (to appear). Zbl0311.31009MR407301
  7. [7] L. Sario - M. Nakai, Classification Theory of Riemann Surfaces, Grundlehren vol. 164, Springer-Verlag, Berlin-Heidelberg-New York (1970), 446 pp. Zbl0199.40603MR264064
  8. [8] L. Sario - M. Schiffer - M. Glasner, The span and principal functions on Riemannian spaces, J. Analyse Math., 15 (1965), pp. 115-134. Zbl0136.09603MR184182

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