-
1
-
-
0000522197
-
A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
-
M.S. Ashbaugh R.D. Benguria A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions Ann. Math. 135 1992 601-628
-
(1992)
Ann. Math.
, vol.135
, pp. 601-628
-
-
Ashbaugh, M.S.1
Benguria, R.D.2
-
2
-
-
84976071249
-
Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem
-
M.S. Ashbaugh R.D. Benguria Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem Proc. Roy. Soc. Edinburgh Sect. A 123 1993 977-985
-
(1993)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.123
, pp. 977-985
-
-
Ashbaugh, M.S.1
Benguria, R.D.2
-
3
-
-
84974004281
-
On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions
-
M.S. Ashbaugh R.D. Benguria On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions Duke Math. J. 78 1995 1-17
-
(1995)
Duke Math. J.
, vol.78
, pp. 1-17
-
-
Ashbaugh, M.S.1
Benguria, R.D.2
-
4
-
-
84990602584
-
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains
-
H. Berestycki L. Nirenberg S.R.S. Varadhan The principal eigenvalue and maximum principle for second-order elliptic operators in general domains Commun. Pure Appl. Math. 47 1994 47-92
-
(1994)
Commun. Pure Appl. Math.
, vol.47
, pp. 47-92
-
-
Berestycki, H.1
Nirenberg, L.2
Varadhan, S.R.S.3
-
5
-
-
0004690381
-
Minimization of the third eigenvalue of the Dirichlet Laplacian
-
D. Bucur A. Henrot Minimization of the third eigenvalue of the Dirichlet Laplacian Proc. Roy. Soc. London Ser. A 456 2000 985-996
-
(2000)
Proc. Roy. Soc. London Ser. A
, vol.456
, pp. 985-996
-
-
Bucur, D.1
Henrot, A.2
-
6
-
-
14544289346
-
Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain
-
S.-Y. Cheng K. Oden Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain J. Geom. Anal. 7 1997 217-239
-
(1997)
J. Geom. Anal.
, vol.7
, pp. 217-239
-
-
Cheng, S.-Y.1
Oden, K.2
-
7
-
-
0003421053
-
Beweis, dass unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt
-
Sitzungsberichte der mathematisch-physikalischen Klasse der Bauerischen Akademie der Wissenschaften zu München Jahrgang
-
G. Faber, Beweis, dass unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt, Sitzungsberichte der mathematisch-physikalischen Klasse der Bauerischen Akademie der Wissenschaften zu München Jahrgang, 1923, pp. 169-172
-
(1923)
, pp. 169-172
-
-
Faber, G.1
-
9
-
-
0042372826
-
Minimization problems for eigenvalues of the Laplacian
-
A. Henrot Minimization problems for eigenvalues of the Laplacian J. Evol. Eq. 3 2003 443-461
-
(2003)
J. Evol. Eq.
, vol.3
, pp. 443-461
-
-
Henrot, A.1
-
10
-
-
34250956789
-
Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises
-
E. Krahn Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises Math. Ann. 94 1925 97-100
-
(1925)
Math. Ann.
, vol.94
, pp. 97-100
-
-
Krahn, E.1
-
11
-
-
0002701051
-
Über Minimaleigenschaft der Kugel in drei und mehr Dimensionen
-
E. Krahn Über Minimaleigenschaft der Kugel in drei und mehr Dimensionen Acta Commun. Univ. Tartu (Dorpat) A 9 1926 1-44
-
(1926)
Acta Commun. Univ. Tartu (Dorpat) A
, vol.9
, pp. 1-44
-
-
Krahn, E.1
-
12
-
-
85006191178
-
Bounds for the third membrane eigenvalue
-
P. Marcellini Bounds for the third membrane eigenvalue J. Differential Equations 37 1980 438-443
-
(1980)
J. Differential Equations
, vol.37
, pp. 438-443
-
-
Marcellini, P.1
-
13
-
-
21844489995
-
Rayleigh's conjecture on the principal frequency of the clamped plate
-
N.S. Nadirashvili Rayleigh's conjecture on the principal frequency of the clamped plate Arch. Rational Mech. Anal. 129 1995 1-10
-
(1995)
Arch. Rational Mech. Anal.
, vol.129
, pp. 1-10
-
-
Nadirashvili, N.S.1
-
14
-
-
0000190919
-
The isoperimetric inequality
-
R. Osserman The isoperimetric inequality Bull. Amer. Math. Soc. 84 1978 1182-1238
-
(1978)
Bull. Amer. Math. Soc.
, vol.84
, pp. 1182-1238
-
-
Osserman, R.1
-
15
-
-
0000773726
-
On the characteristic frequencies of a symmetric membrane
-
G. Pólya On the characteristic frequencies of a symmetric membrane Math. Z. 63 1955 331-337
-
(1955)
Math. Z.
, vol.63
, pp. 331-337
-
-
Pólya, G.1
-
16
-
-
84963097105
-
On the eigenvalues of vibrating membranes
-
G. Pólya On the eigenvalues of vibrating membranes Proc. London Math. Soc. 11 3 1961 100-105
-
(1961)
Proc. London Math. Soc.
, vol.11
, Issue.3
, pp. 100-105
-
-
Pólya, G.1
-
17
-
-
0003951930
-
-
second ed. revised and enlarged (in 2 vols.) New York: Dover [republication of the 1894/1896 edition]
-
J.W.S. Rayleigh The Theory of Sound second ed. revised and enlarged (in 2 vols.) 1945 Dover New York (republication of the 1894/1896 edition)
-
(1945)
The Theory of Sound
-
-
Rayleigh, J.W.S.1
-
18
-
-
0000197823
-
Inequalities for certain eigenvalues of a membrane of given area
-
G. Szegö Inequalities for certain eigenvalues of a membrane of given area J. Rational Mech. Anal. 3 1954 343-356
-
(1954)
J. Rational Mech. Anal.
, vol.3
, pp. 343-356
-
-
Szegö, G.1
-
19
-
-
0000748133
-
An isoperimetric inequality for the N-dimensional free membrane problem
-
H.F. Weinberger An isoperimetric inequality for the N-dimensional free membrane problem J. Rational Mech. Anal. 5 1956 633-636
-
(1956)
J. Rational Mech. Anal.
, vol.5
, pp. 633-636
-
-
Weinberger, H.F.1
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