Optimization problems involving Poisson's equation in R^3

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.

Bibliographic Details
Main Authors: Fariba Bahrami, Hossain Fazli
Format: Article
Language:English
Published: Texas State University 2011-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/60/abstr.html