@article{CM_1982__47_1_95_0,
author = {Matsuzawa, Tadayuki and Tanno, Shukichi},
title = {Estimates of the first eigenvalue of a big cup domain of a 2-sphere},
journal = {Compositio Mathematica},
volume = {47},
year = {1982},
pages = {95-100},
mrnumber = {668783},
zbl = {0498.53033},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1982__47_1_95_0}
}
Matsuzawa, Tadayuki; Tanno, Shukichi. Estimates of the first eigenvalue of a big cup domain of a 2-sphere. Compositio Mathematica, Tome 47 (1982) pp. 95-100. http://gdmltest.u-ga.fr/item/CM_1982__47_1_95_0/
[1] and : Stability of minimal surfaces and eigenvalues of the Laplacian. Math. Zeit. 173 (1980) 13-28. | MR 584346 | Zbl 0417.53033
[2] and : Spectra of domains in compact manifolds. Journ. Funct. Anal. 30 (1978) 198-222. | MR 515225 | Zbl 0392.58016
[3] , et : Temps de sortie des boules normales et minoration local de λ1. Compt. Rend. Acad. Sci. Paris 278 (1974) 795-798. | Zbl 0274.53039
[4] and : Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions. Comm. Math. Helv. 51 (1976) 133-161. | MR 412442 | Zbl 0339.31003
[5] : The first eigenvalue of the Laplacian of two-dimensional Reimannian manifold (preprint; Department of Mathematics, Tokyo University, Japan). | MR 651702