Special Session 40: Qualitative aspects of linear and nonlinear elliptic and parabolic problems
Contents
The Dirichlet problem for a semilinear elliptic equation in a semilinear in 2-dimensional annulus is considered.
It is shown that, for each positive integer $k$, the problem has a unique radial solution having exactly $k-1$ nodes on some annulus, provided the exponent is near $1$.