A characterization result for the existence of a two-phase material minimizing the first eigenvalue

DOI10.1016/j.anihpc.2016.09.006zbMath1379.49044OpenAlexW2531275784MaRDI QIDQ1683360

Juan Casado-Díaz

Publication date: 8 December 2017

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2016.09.006

zbMATH Keywords

eigenvaluenon-existencefirst eigenvalueminimum valuecontrol in the coefficientstwo-phase material

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for eigenvalues of operators (49R05)

Related Items (7)

The maximization of the first eigenvalue for a two-phase material ⋮ Spectral Optimization of Inhomogeneous Plates ⋮ Some comparison results and a partial bang-bang property for two-phases problems in balls ⋮ An optimal design problem for a two-phase isolating material in the wall of a cavity ⋮ Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions ⋮ Minimization of the P-Laplacian first eigenvalue for a two-phase material ⋮ The Maximization of the $p$-Laplacian Energy for a Two-Phase Material

Cites Work

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• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Analysis and numerical studies of a problem of shape design
• An extremal eigenvalue problem for a two-phase conductor in a ball
• The general theory of homogenization. A personalized introduction
• Numerical study of a relaxed variational problem from optimal design
• Some smoothness results for the optimal design of a two-composite material which minimizes the energy
• A symmetry problem in potential theory
• Optimal ground state energy of two-phase conductors
• Smoothness Properties for the Optimal Mixture of Two Isotropic Materials: The Compliance and Eigenvalue Problems
• Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime
• Relaxation of a Control Problem in the Coefficients with a Functional of Quadratic Growth in the Gradient
• On optimization problems with prescribed rearrangements
• Global minimizer of the ground state for two phase conductors in low contrast regime
• Shape optimization by the homogenization method

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