Extremal eigenvalue problems for two-phase conductors

DOI10.1007/BF02316974zbMath0914.49011OpenAlexW2005264558MaRDI QIDQ2365391

Yanyan Li

Publication date: 2 June 1999

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02316974

zbMATH Keywords

eigenvaluesnecessary conditionsextremizerstwo-phase conductorsrelaxed problems

Mathematics Subject Classification ID

Related Items (25)

A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter ⋮ An extremal eigenvalue problem for a two-phase conductor in a ball ⋮ The maximization of the first eigenvalue for a two-phase material ⋮ A rearrangement minimization problem corresponding top-Laplacian equation ⋮ A Second-Order Bundle Method Based on -Decomposition Strategy for a Special Class of Eigenvalue Optimizations ⋮ Minimization of the ground state of the mixture of two conducting materials in a small contrast regime ⋮ A space decomposition scheme for maximum eigenvalue functions and its applications ⋮ Spectral Optimization of Inhomogeneous Plates ⋮ Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight ⋮ Optimal Location of Resources for Biased Movement of Species: The 1D Case ⋮ The space decomposition method for the sum of nonlinear convex maximum eigenvalues and its applications ⋮ On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems ⋮ On a two-phase Serrin-type problem and its numerical computation ⋮ The space decomposition theory for a class of eigenvalue optimizations ⋮ 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 ⋮ An optimal design problem in wave propagation ⋮ Extremal rearrangement problems involving Poisson's equation with Robin boundary conditions ⋮ Shape minimization of dendritic attenuation ⋮ Minimization of the elliptic higher eigenvalues for multiphase anisotropic conductors ⋮ Eigenfrequency optimization in optimal design ⋮ Minimization of the P-Laplacian first eigenvalue for a two-phase material ⋮ A Decomposition Algorithm for the Sums of the Largest Eigenvalues ⋮ Shape optimization of a weighted two-phase Dirichlet eigenvalue ⋮ The optimal shape of a dendrite sealed at both ends

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