Optimal shape of a domain which minimizes the first buckling eigenvalue

DOI10.1007/s00526-015-0944-9zbMath1335.49072arXiv1512.07649OpenAlexW2963402114MaRDI QIDQ262231

Kathrin Stollenwerk

Publication date: 29 March 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07649

zbMATH Keywords

shape optimizationeigenvalue minimization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimization of shapes other than minimal surfaces (49Q10) Higher-order elliptic equations (35J30) Variational methods for eigenvalues of operators (49R05)

Related Items (3)

Existence of an optimal domain for the buckling load of a clamped plate with prescribed volume ⋮ Minimization of the buckling load of a clamped plate with perimeter constraint ⋮ On the optimal domain for minimizing the buckling load of a clamped plate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Optimization problems for an energy functional with mass constraint revisited
• On the regularity of the minima of variational integrals
• 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
• Optimization problems for weighted Sobolev constants
• On the regularity of the solution of the biharmonic variational inequality
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• On the Dirichlet problem with several volume constraints on the level sets
• On Membranes and Plates
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: Optimal shape of a domain which minimizes the first buckling eigenvalue