@article{ASNSP_1985_4_12_2_319_0, author = {Singer, Isadore M. and Wong, Bun and Yau, Shing-Tung and Yau, Stephen S.-T.}, title = {An estimate of the gap of the first two eigenvalues in the Schr\"odinger operator}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {319--333}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 12}, number = {2}, year = {1985}, zbl = {0603.35070}, mrnumber = {829055}, language = {en}, url = {archive.numdam.org/item/ASNSP_1985_4_12_2_319_0/} }
Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T. An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 12 (1985) no. 2, pp. 319-333. http://archive.numdam.org/item/ASNSP_1985_4_12_2_319_0/
[1] On extensions of the Brunn-Minkowski and prékopa-Leindler theorems, including inequalities for Log concave functions, and with an application to Diffusion equation, Journal of Functional Analysis, 22 (1976), pp. 366-389. | Zbl 0334.26009
- ,[2] Eigenvalue comparison theorems and its geometric applications, Math. Z., 143 (1975), pp. 289-297. | Zbl 0329.53035
,[3] Method of Mathematical Physics, Vol. I. | Zbl 0051.28802
- ,[4] Estimate of eigenvalues of a compact Riemannian manifold, Proc. Symp. Pure Math., 36 (1980), pp. 205-240. | Zbl 0441.58014
- ,[5] Ideals of differentiable functions, Oxford University Press, 1966. | Zbl 0177.17902
,[6] On the ratio of consecutive eigenvalues, Journal of Math. and Physics, 35, No. 3 (Oct. 1956), pp. 289-298. | MR 84696 | Zbl 0073.08203
- - ,[7] The P(ϕ)2 Euclidean quantum field theory, Princeton Series in Physics. | Zbl 1175.81146
,