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James Serrin, University of Minnesota, Minneapolis"Dead cores and bursts for singular elliptic equations" Abstract
We consider singular elliptic partial differential equations of the form
and show that under certain general conditions on the operator
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 |
and on the nonlinearity 
there exist dead core
solutions, and even more, solutions which involve both a dead core and
``bursts'' within the core.
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