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Gabriella Tarantello

2009-04-30
14:00:00 - 14:50:00

On the symmetry properties of extremals for Hardy-Sobolev type inequalities in dimension two

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

We present a weighted inequality of Onofri type over the two-dimensional Euclidean space and discuss its connections to the symmetry breaking phenomenon for extremals of the Hardy-Sobolev inequality introduced by Caffarelli-Kohn-Nirenberg. We describe a sharp region in the set of parameters that signs the transition from the symmetry to the symmetry breaking situation.