On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems

DOI10.1007/s00245-010-9111-zzbMath1207.49055OpenAlexW1987949631MaRDI QIDQ626426

Juan-Miguel Gracia

Publication date: 18 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00245-010-9111-z

zbMATH Keywords

first eigenvaluedomain variationstwo-phase conductors

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational methods for eigenvalues of operators (49R05) PDEs in connection with control and optimization (35Q93)

Related Items (11)

A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter ⋮ Computing quantities of interest for random domains with second order shape sensitivity analysis ⋮ Shape sensitivity of eigenvalue functionals for scalar problems: computing the semi-derivative of a minimum ⋮ 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 ⋮ Two-phase heat conductors with a surface of the constant flow property ⋮ Some comparison results and a partial bang-bang property for two-phases problems in balls ⋮ Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball ⋮ Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions ⋮ Stability analysis of the two-phase torsional rigidity near a radial configuration ⋮ Shape optimization of a weighted two-phase Dirichlet eigenvalue

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