| 概要 | We consider the semilinear elliptic equations which are
motivated by logistic equation of population dynamics.
The purpose of this talk is to consider the inverse and
direct bifurcation problem. For the direct problems, we
establish precise asymptotic formulas for the bifurcation
curves in  -framework. As for inverse problems,
taking some asymptotic properties of bifurcation curves
into account, we propose new concept of inverse
bifurcation problem. This problem, in some sense,
corresponds to the linear inverse eigenvalue problems,
which determine unknown potential from the information
about eigenvalues. |