Minimization of the buckling load of a clamped plate with perimeter constraint

DOI10.1007/s00245-023-10097-zarXiv2307.02856MaRDI QIDQ6139959

Antonio Leaci, Michele Carriero, Simone Cito

Publication date: 19 January 2024

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

Full work available at URL: https://arxiv.org/abs/2307.02856

zbMATH Keywords

shape optimizationperimeter constraintbuckling eigenvaluesBilaplacian operator

Mathematics Subject Classification ID

Plates (74K20) Optimization of shapes other than minimal surfaces (49Q10) Geometrical methods for optimization problems in solid mechanics (74P20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal shape of a domain which minimizes the first buckling eigenvalue
• Existence of minimizers for spectral problems
• The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
• Existence and regularity of minimizers for some spectral functionals with perimeter constraint
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Über die Rayleighsche Vermutung: Unter allen Platten von gegebener Fläche und konstanter Dichte und Elastizität hat die kreisförmige den tiefsten Grundton
• On the isoperimetric inequality for the buckling of a clamped plate
• On the optimal domain for minimizing the buckling load of a clamped plate
• Variational methods in shape optimization problems
• Analyticity and Criticality Results for the Eigenvalues of the Biharmonic Operator
• NOTE TO MY PAPER “ON MEMBRANES AND PLATES”
• Convex shape optimization for the least biharmonic Steklov eigenvalue
• The Bilaplacian with Robin Boundary Conditions
• Minimization of $\lambda_{2}(\Omega)$ with a perimeter constraint
• Eigenvalues of polyharmonic operators on variable domains
• On Membranes and Plates

This page was built for publication: Minimization of the buckling load of a clamped plate with perimeter constraint