Shape derivative for a two-phase eigenvalue problem and optimal configurations in a ball

DOI10.1051/proc/2009034zbMath1167.49038OpenAlexW2143159889MaRDI QIDQ5191305

León Sanz, Rajesh Mahadevan, Carlos Conca

Publication date: 29 July 2009

Published in: ESAIM: Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc/2009034

zbMATH Keywords

first eigenvalueoptimal designshape derivativetwo-phase conductors

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items (8)

A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter ⋮ Minimization of the ground state of the mixture of two conducting materials in a small contrast regime ⋮ Locally optimal configurations for the two-phase torsion problem in the ball ⋮ On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems ⋮ Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions ⋮ Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions ⋮ Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media ⋮ Stability analysis of the two-phase torsional rigidity near a radial configuration

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