%0 Journal Article
%T Uniqueness and radial symmetry for an inverse elliptic equation
%A B. Emamizadeh
%A M. H. Mehrabi
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s0161171203211236
%X We consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount. Our approach is based on a rearrangement variational principle extensively developed by G. R. Burton.
%U http://www.hindawi.com/journals/ijmms/2003/560803/abs/