A lower bound for the first eigenvalue of a vibrating nonhomogeneous plate

DOI10.1007/BF01594959zbMath0298.73084OpenAlexW2076707383MaRDI QIDQ1214798

D. R. Dunninger

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf01594959

Mathematics Subject Classification ID

Plates (74K20) Waves in solid mechanics (74J99)

Cites Work

• Lower bounds for the first eigenvalue of elliptic equations
• Vibration of a nonhomogeneous membrane
• Sur la frequence fondamentale d'une membrane vibrante: evaluations par defaut et principe de maximum
• Physical interpretation and strengthening of M.H. Protter's method for vibrating nonhomogeneous membranes; its analogue for Schrödinger's equation
• Extreme principles and isoperimetric inequalities for some mixed problems of Stekloff's type
• On the Methods of One‐Dimensional Auxiliary Problems and of Domain Partitioning: Their Application to Lower Bounds for the Eigenvalues of Schrodinger's Equation
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