Geodesic
Optimization problems involving Poisson's equation in \(\mathbb R^3\)
Electronic journal of differential equations, Tome 2011 (2011)
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.
Classification : 49J20, 49K20
Keywords: rearrangements class, variational problem, Poisson's equation, energy functional, minimization 
@article{EJDE_2011__2011__a71,
     author = {Bahrami,  Fariba and Fazli,  Hossain},
     title = {Optimization problems involving {Poisson's} equation in \(\mathbb {R^3\)}},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1215.49005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a71/}
}
TY  - JOUR
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AU  - Fazli,  Hossain
TI  - Optimization problems involving Poisson's equation in \(\mathbb R^3\)
JO  - Electronic journal of differential equations
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VL  - 2011
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a71/
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%A Fazli,  Hossain
%T Optimization problems involving Poisson's equation in \(\mathbb R^3\)
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a71/
%G en
%F EJDE_2011__2011__a71
Bahrami,  Fariba; Fazli,  Hossain. Optimization problems involving Poisson's equation in \(\mathbb R^3\). Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a71/