Estimates of the first eigenvalue of a big cup domain of a 2-sphere

Tadayuki Matsuzawa; Shukichi Tanno

Compositio Mathematica (1982)

  • Volume: 47, Issue: 1, page 95-100
  • ISSN: 0010-437X

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Matsuzawa, Tadayuki, and Tanno, Shukichi. "Estimates of the first eigenvalue of a big cup domain of a 2-sphere." Compositio Mathematica 47.1 (1982): 95-100. <http://eudml.org/doc/89561>.

@article{Matsuzawa1982,
author = {Matsuzawa, Tadayuki, Tanno, Shukichi},
journal = {Compositio Mathematica},
keywords = {first eigenvalue of the Dirichlet problem; cup domain; Laplacian; 2- sphere},
language = {eng},
number = {1},
pages = {95-100},
publisher = {Martinus Nijhoff Publishers},
title = {Estimates of the first eigenvalue of a big cup domain of a 2-sphere},
url = {http://eudml.org/doc/89561},
volume = {47},
year = {1982},
}

TY - JOUR
AU - Matsuzawa, Tadayuki
AU - Tanno, Shukichi
TI - Estimates of the first eigenvalue of a big cup domain of a 2-sphere
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 1
SP - 95
EP - 100
LA - eng
KW - first eigenvalue of the Dirichlet problem; cup domain; Laplacian; 2- sphere
UR - http://eudml.org/doc/89561
ER -

References

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  1. [1] J.L. Barbosa and M. Do Carmo: Stability of minimal surfaces and eigenvalues of the Laplacian. Math. Zeit.173 (1980) 13-28. Zbl0417.53033MR584346
  2. [2] I. Chavel and E.A. Feldman: Spectra of domains in compact manifolds. Journ. Funct. Anal.30 (1978) 198-222. Zbl0392.58016MR515225
  3. [3] A. Debiard, B. Gaveau et E. Mazet: Temps de sortie des boules normales et minoration local de λ1. Compt. Rend. Acad. Sci. Paris278 (1974) 795-798. Zbl0274.53039
  4. [4] S. Friedland and W.K. Hayman: Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions. Comm. Math. Helv.51 (1976) 133-161. Zbl0339.31003MR412442
  5. [5] S. Ozawa: The first eigenvalue of the Laplacian of two-dimensional Reimannian manifold (preprint; Department of Mathematics, Tokyo University, Japan). MR651702

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