Special Session 93: Recent trends in elliptic and parabolic equations

On the bifurcation diagram for free boundary problems arising in plasma physics

Aleks Jevnikar
University of Udine
Italy
Co-Author(s):    Daniele Bartolucci, Ruijun Wu
Abstract:
We are concerned with qualitative properties of the bifurcation diagram of a free boundary problem arising in plasma physics, showing in particular uniqueness and monotonicity of its solutions. We then discuss sharp positivity thresholds and spike condensation phenomenon.