-
1
-
-
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. K. 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 (1976), 366-389.
-
(1976)
J. Funct. Anal.
, vol.22
, pp. 366-389
-
-
Brascamp, H.K.1
Lieb, E.H.2
-
3
-
-
84972500359
-
The splitting theorem for manifolds of non-negative Ricci curvature
-
J. Cheeger and D. Gromoll, The splitting theorem for manifolds of non-negative Ricci curvature, J. Differential Geom. 6 (1971), 119-128.
-
(1971)
J. Differential Geom.
, vol.6
, pp. 119-128
-
-
Cheeger, J.1
Gromoll, D.2
-
4
-
-
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. China Ser. A 40 (1997), 384-394.
-
(1997)
Sci. China Ser. A
, vol.40
, pp. 384-394
-
-
Chen, M.F.1
Wang, F.Y.2
-
5
-
-
21744453864
-
Estimation of spectral gap for elliptic operators
-
M. F. Chen and F. Y. Wang, Estimation of spectral gap for elliptic operators, Trans. Amer. Math. Soc. 349 (1997), 1209-1237.
-
(1997)
Trans. Amer. Math. Soc.
, vol.349
, pp. 1209-1237
-
-
Chen, M.F.1
Wang, F.Y.2
-
6
-
-
51249169755
-
Spectrum, harmonic functions, and hyperbolic metric spaces
-
Y. Kifer, Spectrum, harmonic functions, and hyperbolic metric spaces, Israel J. Math. 89 (1995), 377-428.
-
(1995)
Israel J. Math.
, vol.89
, pp. 377-428
-
-
Kifer, Y.1
-
8
-
-
84972517072
-
An upper bound to the spectrum of Δ on a manifold of negative curvature
-
H. P. McKean, An upper bound to the spectrum of Δ on a manifold of negative curvature, J. Differential Geom. 4 (1970), 359-366.
-
(1970)
J. Differential Geom.
, vol.4
, pp. 359-366
-
-
McKean, H.P.1
-
9
-
-
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 (1995), 363-369.
-
(1995)
Probab. Theory Related Fields
, vol.101
, pp. 363-369
-
-
Wang, F.Y.1
-
10
-
-
0038842922
-
Estimates of the gap between the first two Dirichlet eigenvalues
-
to appear
-
F. Y. Wang, Estimates of the gap between the first two Dirichlet eigenvalues, to appear in J. London Math. Soc..
-
J. London Math. Soc.
-
-
Wang, F.Y.1
-
11
-
-
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 (1986), 341-349.
-
(1986)
Trans. Amer. Math. Soc.
, vol.294
, pp. 341-349
-
-
Yu, Q.H.1
Zhong, J.Q.2
|