Seminar series
Date
Mon, 17 May 2004
17:00
17:00
Location
L1
Speaker
Bryan Rynne
Organisation
Heriot-Watt
We consider semilinear Sturm-Liouville and elliptic problems with jumping
nonlinearities. We show how `half-eigenvalues' can be used to describe the
solvability of such problems and consider the structure of the set of
half-eigenvalues. It will be seen that for Sturm-Liouville problems the
structure of this set can be considerably more complicated for periodic than
for separated boundary conditions, while for elliptic partial differential
operators only partial results are known about the structure in general.