Below is the ascii version of the abstract for 14-58. The html version should be ready soon.

Gianni Arioli, Hans Koch
Some symmetric boundary value problems and non-symmetric solutions
(408K, plain TeX, with eps figures)

ABSTRACT.  We consider the equation Δu=wf ′(u) 
on a symmetric bounded domain in Rn 
with Dirichlet boundary conditions. 
Here w is a positive function or measure 
that is invariant under the (Euclidean) symmetries of the domain. 
We focus on solutions u that are positive and/or 
have a low Morse index. 
Our results are concerned with the existence of non-symmetric 
solutions and the non-existence of symmetric solutions. 
In particular, we construct a solution u for the disk in R2 
that has index 2 and whose modulus |u| 
has only one reflection symmetry.