-
1
-
-
0000522197
-
A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
-
M. S. ASHBAUG and R. D. BENGURIA, A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions. Ann. Math. (2) 135, 601-628 (1992).
-
(1992)
Ann. Math. (2)
, vol.135
, pp. 601-628
-
-
Ashbaug, M.S.1
Benguria, R.D.2
-
2
-
-
49549132663
-
On extension of the Brunn-Minkowski and Prekojia-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
-
H. J. BRASCAMP and E. H. LIEB, On extension of the Brunn-Minkowski and Prekojia-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Funct. Anal. 22, 366-389 (1976).
-
(1976)
J. Funct. Anal.
, vol.22
, pp. 366-389
-
-
Brascamp, H.J.1
Lieb, E.H.2
-
3
-
-
0346477732
-
General formula for lower bound of the first eigenvalue on Riemannian manifolds
-
M. F. CHEN and F. Y. WANG, General formula for lower bound of the first eigenvalue on Riemannian manifolds. Sci. Sin. (A) 40, 384-394 (1997).
-
(1997)
Sci. Sin. (A)
, vol.40
, pp. 384-394
-
-
Chen, M.F.1
Wang, F.Y.2
-
4
-
-
0030577673
-
Upper bounds eigenvalues of the discrete and continuous Laplace operators
-
F. R. K. CHUNG, A. GRIGOR'YAN and S. T. YAU, Upper bounds eigenvalues of the discrete and continuous Laplace operators. Adv. in Math. 117, 165-178 (1996).
-
(1996)
Adv. in Math.
, vol.117
, pp. 165-178
-
-
Chung, F.R.K.1
Grigor'yan, A.2
Yau, S.T.3
-
6
-
-
84966235654
-
The eigenvalue gap for one-dimensional convex potentials
-
R. LAVINE, The eigenvalue gap for one-dimensional convex potentials. Proc. Amer. Math. Soc. 121, 815-821 (1994).
-
(1994)
Proc. Amer. Math. Soc.
, vol.121
, pp. 815-821
-
-
Lavine, R.1
-
9
-
-
0001214262
-
An estimate of the gap of the first two eigenvalues in the Schrödinger operator
-
M. SINGER, B. WONG, S. T. YAU and S. S. T. YAU, An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Ann. Scuola Norm. Sup. Pisa (4) XII, 319-333 (1985).
-
(1985)
Ann. Scuola Norm. Sup. Pisa (4)
, vol.7
, pp. 319-333
-
-
Singer, M.1
Wong, B.2
Yau, S.T.3
Yau, S.S.T.4
-
10
-
-
0030449262
-
Spectral gaps and rates to equilibrium for diffusions in convex domains
-
R. G. SMITS, Spectral gaps and rates to equilibrium for diffusions in convex domains. Michigan Math. J. 43, 141-157 (1996).
-
(1996)
Michigan Math. J.
, vol.43
, pp. 141-157
-
-
Smits, R.G.1
-
11
-
-
0001212955
-
Gradient estimates for harmonic functions on regular domains in Riemannian manifolds
-
A. THALMAIER and F. Y. WANG, Gradient estimates for harmonic functions on regular domains in Riemannian manifolds. J. Funct. Anal. 155, 109-124 (1998).
-
(1998)
J. Funct. Anal.
, vol.155
, pp. 109-124
-
-
Thalmaier, A.1
Wang, F.Y.2
-
12
-
-
21844523092
-
Estimates of the first Dirichlet eigenvalue by using diffusion processes
-
F. Y. WANG, Estimates of the first Dirichlet eigenvalue by using diffusion processes. Probab. Theory Related Fields 101, 363-369 (1995).
-
(1995)
Probab. Theory Related Fields
, vol.101
, pp. 363-369
-
-
Wang, F.Y.1
-
13
-
-
84980178548
-
Harmonic functions on complete Riemannian manifolds
-
S. T. YAU, Harmonic functions on complete Riemannian manifolds. Comm. Pure Appl. Math. 28, 201-228 (1975).
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, pp. 201-228
-
-
Yau, S.T.1
-
14
-
-
0001108250
-
Lower bounds of the gap between the first and second eigenvalues of the Schrödinger operator
-
Q. H. YU and J. Q. ZHONG, Lower bounds of the gap between the first and second eigenvalues of the Schrödinger operator. Trans. Amer. Math. Soc. 294, 341-349 (1986).
-
(1986)
Trans. Amer. Math. Soc.
, vol.294
, pp. 341-349
-
-
Yu, Q.H.1
Zhong, J.Q.2
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