The properties of solutions of a class of isoperimetric problems of stability optimization

DOI10.1016/0021-8928(94)90119-8zbMath0883.34025OpenAlexW2039474099MaRDI QIDQ1359877

Alexander S. Bratus'

Publication date: 23 February 1998

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(94)90119-8

zbMATH Keywords

variational problemfirst eigenvalueSturm-LiouvilleEuler forceextremum of eigenvalue

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Ordinary differential operators (34L99)

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Cites Work

• Optimal structural design under multiple eigenvalue constraints
• Bimodal solutions in eigenvalue optimization problems
• Condition of extremum for eigenvalues of elliptic boundary-value problems
• Strongest Columns and Isoperimetric Inequalities for Eigenvalues
• On the Optimal Design of Columns Against Buckling
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