Below is the ascii version of the abstract for 14-48. The html version should be ready soon.

Riccardo Adami, Enrico Serra, Paolo Tilli
NLS ground states on graphs
(74K, Latex2e)

ABSTRACT.  We investigate the existence of ground states for the 
subcritical NLS energy on metric graphs. In particular, we find out a 
topological assumption that guarantees the nonexistence of ground 
states, and give an example in which the assumption is not fulfilled 
and ground states actually exist. 
In order to obtain the result, we introduce a new rearrangement 
technique, adapted to the graph where it applies. Owing to such a 
technique, the energy level of the rearranged function is improved by 
conveniently mixing the symmetric and monotone rearrangement procedures.