Geodesic
Symmetry in rearrangement optimization problems
Electronic Journal of Differential Equations, Tome 2009 (2009).

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

Summary: This article concerns two rearrangement optimization problems. The first problem is motivated by a physical experiment in which an elastic membrane is sought, built out of several materials, fixed at the boundary, such that its frequency is minimal. We capture some features of the optimal solutions, and prove a symmetry property. The second optimization problem is motivated by the physical situation in which an ideal fluid flows over a seamount, and this causes vortex formation above the seamount. In this problem we address existence and symmetry.
Classification : 49K20, 35P15, 35J10, 74K15
Keywords: minimization and maximization problems, rearrangements, principal eigenvalue, optimal solutions, symmetry 
@article{EJDE_2009__2009__a172,
     author = {Emamizadeh, Behrouz and Prajapat, Jyotshana V.},
     title = {Symmetry in rearrangement optimization problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a172/}
}
TY  - JOUR
AU  - Emamizadeh, Behrouz
AU  - Prajapat, Jyotshana V.
TI  - Symmetry in rearrangement optimization problems
JO  - Electronic Journal of Differential Equations
PY  - 2009
VL  - 2009
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a172/
LA  - en
ID  - EJDE_2009__2009__a172
ER  - 
%0 Journal Article
%A Emamizadeh, Behrouz
%A Prajapat, Jyotshana V.
%T Symmetry in rearrangement optimization problems
%J Electronic Journal of Differential Equations
%D 2009
%V 2009
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a172/
%G en
%F EJDE_2009__2009__a172
Emamizadeh, Behrouz; Prajapat, Jyotshana V. Symmetry in rearrangement optimization problems. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a172/