On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems
type: Item
instance of: scholarly article
title: On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems
zbMATH Open document ID: 1207.49055
author: Juan-Miguel Gracia
published in: Applied Mathematics and Optimization
publication date: 2011-02-18T00:00:00Z
Mathematics Subject Classification ID: 49R05
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 35Q93
zbMATH DE Number: 5852814
zbMATH Keywords: first eigenvalue
zbMATH Keywords: two-phase conductors
zbMATH Keywords: domain variations
MaRDI profile type: Publication
full work available at URL: s00245-010-9111-z
OpenAlex ID: W1987949631
cites work: On Second Order Shape Optimization Methods for Electrical Impedance Tomography
cites work: On optimization problems with prescribed rearrangements
cites work: Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints
cites work: Lipschitz continuity of state functions in some optimal shaping
cites work: An existence result for a class of shape optimization problems
cites work: An extremal eigenvalue problem for a two-phase conductor in a ball
cites work: Shape derivative for a two-phase eigenvalue problem and optimal configurations in a ball
cites work: Extremal eigenvalue problems for two-phase conductors
cites work: On the optimal insulation of conductors
cites work: Q4793650
cites work: About stability of equilibrium shapes
cites work: Reinforcement of the principal eigenvalue of an elliptic operator
cites work: Q5481205
cites work: Variation and optimization of formes. A geometric analysis
cites work: On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
cites work: Variation d'un point de retournement par rapport au domaine
cites work: On two formulations of an optimal insulation problem
cites work: Structure of shape derivatives
cites work: Hadamard's Formula and Variation of Domain-Functions
cites work: Optimal Shape Problems for Eigenvalues
cites work: Q5846799
DOI: 10.1007/S00245-010-9111-Z
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description: scientific article; zbMATH DE number 5852814