Existence of an optimal domain for the buckling load of a clamped plate with prescribed volume

DOI10.1007/s10231-021-01175-6zbMath1495.49016arXiv2110.07299OpenAlexW3216245104MaRDI QIDQ2159757

Kathrin Stollenwerk

Publication date: 2 August 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07299

zbMATH Keywords

inequalities involving eigenvaluesexistence resultbucking load

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Inequalities involving eigenvalues and eigenvectors (15A42) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)

Cites Work

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• Optimal shape of a domain which minimizes the first buckling eigenvalue
• Optimality conditions for the buckling of a clamped plate
• Multiple integrals in the calculus of variations
• Optimization problems for an energy functional with mass constraint revisited
• On the isoperimetric inequality for the buckling of a clamped plate
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• An Optimization Problem with Volume Constraint
• On Membranes and Plates
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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