Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 71, pp. 1-8.

Title: Geometric properties of solutions to maximization problems

Authors: Fabrizio Cuccu (Univ. di Cagliari, Italy)  
         Kanhaiya Jha   (Kathmandu Univ., Nepal) 
	 Giovanni Porru (Univ. di Cagliari, Italy)

Abstract: 
  We investigate the geometric configuration of the maxima
  of some functionals associated with solutions to Dirichlet problems
  for special elliptic equations. We also discuss the symmetry breaking
  and symmetry preservation of the solutions in some particular cases.
 
Submitted December 2, 2002. Published June 24, 2003.
Math Subject Classifications: 35J25, 49K20, 49J20.
Key Words: Functionals; maximization; symmetry