Optimal ground state energy of two-phase conductors

Autor: Abbasali Mohammadi, Mohsen Yousefnezhad
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2014, Iss 171,, Pp 1-8 (2014)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We consider the problem of distributing two conducting materials in a ball with fixed proportion in order to minimize the first 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.
Databáze: Directory of Open Access Journals