Electron. J. Diff. Equ., Vol. 2011 (2011), No. 60, pp. 1-9.

Optimization problems involving Poisson's equation in R^3

Fariba Bahrami, Hossain Fazli

Abstract:
In this article, we prove the existence of minimizers for integrals associated with a second-order elliptic problem. For this three-dimensional optimization problem, the admissible set is a rearrangement class of a given function.

Submitted February 16, 2011. Published May 10, 2011.
Math Subject Classifications: 49J20, 49K20.
Key Words: Rearrangements class; variational problem; Poisson's equation; energy functional; minimization.

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Fariba Bahrami
Department of Applied Mathematics
University of Tabriz, Tabriz, Iran
email: fbahram@tabrizu.ac.ir
Hossain Fazli
Department of Applied Mathematics
University of Tabriz, Tabriz, Iran
email: fazli64@gmail.com

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