Symmetry breaking for ground states of the Henon and Hardy-Sobolev equations.
by
Didier Smets
Université de Rome 1 et FNRS UCL

We prove symmetry breaking results concerning the minimizers of well-known Hardy-Sobolev type inequalities in symmetric domains. These include Henon's equation, arising in the stability of stellar systems in astrophysics, and the celebrated Caffarelli-Kohn-Nirenberg inequalities that were used to handle the pressure term in the Navier-Stokes system. Transition curves in the parameters region are exhibited, whose existence is proved through bifurcation.

Date received: February 20, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafv-28.