Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint
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Publication:4685324
DOI10.1137/17M1162147zbMath1401.35217arXiv1801.01417OpenAlexW2963295924WikidataQ129143092 ScholiaQ129143092MaRDI QIDQ4685324
Ilaria Lucardesi, Beniamin Bogosel, Antoine Henrot
Publication date: 8 October 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.01417
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)
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Parametric shape optimization using the support function, Eigenvalues of Dirichlet Laplacian within the class of open sets with constant diameter, On the eigenvalues and the torsional rigidities of regular Reuleaux polygons, Optimization of the first Dirichlet Laplacian eigenvalue with respect to a union of balls, Maximization of the Steklov Eigenvalues With a Diameter Constraint, Numerical shape optimization among convex sets, On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
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