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On the mean value of the fundamental mode in the fixed membrane problem. (English) Zbl 0323.35057

MSC:
35P15 Estimates of eigenvalues in context of PDEs
35J10 Schrödinger operator, Schrödinger equation
35B45 A priori estimates in context of PDEs
74K20 Plates
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References:
[1] Hopf E., Proc. Amer. Math. Soc. 3 pp 291– (1952) · doi:10.1090/S0002-9939-1952-0050126-X
[2] Payne L. E., ZAMP 23 pp 13– (1972) · Zbl 0241.73080 · doi:10.1007/BF01593198
[3] Payne L. E., J. Math. Phys. 39 pp 182– (1960)
[4] Unger H. E., J. Nucl. Energy 25 pp 615– (1971) · doi:10.1016/0022-3107(71)90036-0
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