Untere und obere Schranken für den tiefsten Eigenwert der elastisch gestützten Membran

DOI10.1007/BF01593087zbMath0246.73072OpenAlexW2007312872MaRDI QIDQ2555775

Rene P. Sperb

Publication date: 1972

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01593087

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Membranes (74K15)

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Cites Work

• Inequalities for membrane and Stekloff eigenvalues
• One-dimensional auxiliary problems and a priori bounds
• An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
• Convexity of functionals by transplantation
• Erratum: Some Isoperimetric Inequalities for Harmonic Functions
• Isoperimetric Inequalities and Their Applications