Optimal ground state energy of two-phase conductors

Abbasali Mohammadi; Mohsen Yousefnezhad

Optimal ground state energy of two-phase conductors

Abbasali Mohammadi (Lead / Corresponding author)
, Mohsen Yousefnezhad (Lead / Corresponding author)

SCI Mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We consider the problem of distributing two conducting materials in a ball with xed proportion in order to minimize the rst eigenvalue of a Dirichlet operator. It was conjectured that the optimal distribution consists of putting the material with the highest conductivity in a ball around the center. In this paper, we show that the conjecture is false for all dimensions greater than or equal to two. © 2014 Texas State University - San Marcos.

Original language	English
Pages (from-to)	1-8
Number of pages	9
Journal	Electronic Journal of Differential Equations
Volume	2014
Issue number	171
Publication status	Published - 11 Aug 2014

Keywords

Eigenvalue optimization
two-phase conductors
rearrangements
Bessel function

Cite this

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AB - We consider the problem of distributing two conducting materials in a ball with xed proportion in order to minimize the rst eigenvalue of a Dirichlet operator. It was conjectured that the optimal distribution consists of putting the material with the highest conductivity in a ball around the center. In this paper, we show that the conjecture is false for all dimensions greater than or equal to two. © 2014 Texas State University - San Marcos.

KW - Eigenvalue optimization

KW - two-phase conductors

KW - rearrangements

KW - Bessel function

UR - https://www.scopus.com/pages/publications/84907363175

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

IS - 171

ER -

Optimal ground state energy of two-phase conductors

Abstract

Keywords

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