James Serrin, University of Minnesota, Minneapolis
"Dead cores and bursts for singular elliptic equations"
We consider singular elliptic partial differential equations of the form
and show that under certain general conditions on the operator and on the nonlinearity there exist dead core solutions, and even more, solutions which involve both a dead core and ``bursts'' within the core.
The closely related problem of solutions in an exterior domain that have compact support (dead core at infinity) will also be considered.
TUESDAY, April 15, 2003