Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 145, pp. 1-6.

Title: Minimizers of a variational problem inherit the symmetry of the domain

Authors: Marcelo Montenegro (Univ. Estadual de Campinas, Brazil)
         Enrico Valdinoci (Univ. di Roma Tor Vergata, Roma, Italy)

Abstract:
 We give a general framework under which the minimizers of a variational
 problem inherit the symmetry of the ambient space. The main technique used
 is the moving plane (or sliding) method.

Submitted March 27, 2012. Published August 21, 2012.
Math Subject Classifications: 35A30, 47J30, 49K30, 35J85, 35J60, 58E05.
Key Words: Minimizers; PDEs; symmetry.