Elaine Crooks (Swansea University):
Title: Highly nonlinear large-competition limits of elliptic systems
In this talk, I will discuss the effect of different types of
interaction terms on the large-interaction limit of nonlinear elliptic
modelling the steady states of populations that compete in some region. As
the competition rate tends to infinity, non-negative solutions of quite
systems converge to the positive and negative parts of solutions of a
problem which may be much more strongly nonlinear than the original
possibly with quadratic growth in the gradient of the limit function.
This is joint
work with Norman Dancer.