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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