Geodesic
Optimization problems involving Poisson's equation in $\Bbb R^3$
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $\Bbb R^3$},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a71/}
}
TY  - JOUR
AU  - Bahrami, Fariba
AU  - Fazli, Hossain
TI  - Optimization problems involving Poisson's equation in $\Bbb R^3$
JO  - Electronic Journal of Differential Equations
PY  - 2011
VL  - 2011
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a71/
LA  - en
ID  - EJDE_2011__2011__a71
ER  - 
%0 Journal Article
%A Bahrami, Fariba
%A Fazli, Hossain
%T Optimization problems involving Poisson's equation in $\Bbb R^3$
%J Electronic Journal of Differential Equations
%D 2011
%V 2011
%I mathdoc
%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 $\Bbb R^3$. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a71/