Optimal ground state energy of two-phase conductors

zbMath1296.49044arXiv1403.1954MaRDI QIDQ2877660

Abbasali Mohammadi, Mohsen Yousefnezhad

Publication date: 25 August 2014

Full work available at URL: https://arxiv.org/abs/1403.1954

zbMATH Keywords

eigenvalue optimizationrearrangementsBessel functionDirichlet operatortwo-phase conductors

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Variational methods for eigenvalues of operators (49R05) PDEs in connection with control and optimization (35Q93)

Related Items (8)

A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter ⋮ The maximization of the first eigenvalue for a two-phase material ⋮ Smoothness Properties for the Optimal Mixture of Two Isotropic Materials: The Compliance and Eigenvalue Problems ⋮ A characterization result for the existence of a two-phase material minimizing the first eigenvalue ⋮ 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

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