×

zbMATH — the first resource for mathematics

Untere und obere Schranken für den tiefsten Eigenwert der elastisch gestützten Membran. (German) Zbl 0246.73072

MSC:
74K15 Membranes
35P15 Estimates of eigenvalues in context of PDEs
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] L.E. Payne undM.E. Rayner,An Isoperimetric Inequality for the First Eigenfunction in the Fixed Membrane Problem, Z. angew. Math. Phys.23, 13–15 (1972). · Zbl 0241.73080
[2] R.P. Sperb,Obere und untere Schranken für den tiefsten Eigenwert bzw. das Energieintegral in Problemen, die einen Parameter {\(\alpha\)} enthalten, Diss. ETH (Juris Druck + Verlag, Zürich 1971).
[3] J.R. Kuttler undV.G. Sigillito,Inequalities for Membrane and Stekloff Eigenvalues, J. Math. anal. Appl.23, 148–160 (1968). · Zbl 0167.45701
[4] L.E. Payne,Some Isoperimetric Inequalities for Harmonic Functions (Forschungsinstitut für Mathematik, ETH Zürich). · Zbl 0289.31006
[5] L.E. Payne,Isoperimetric Inequalities and Their Applications, SIAM Rev.9, No. 3, 453–488 (Juli 1967). · Zbl 0154.12602
[6] J. Hersch undL.E. Payne,One-Dimensional Auxiliary Problems and a priori Bounds, Abhandlungen Math. Seminar Univ. Hamburg, Band 36, p. 57–65 (Juli 1971). · Zbl 0214.35905
[7] G. Pólya undM. Schiffer,Convexity of Functionals by Transplantation, J. Anal. Math.3, 245–345 (1954). · Zbl 0056.32701
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.