| Abstract: |
| It is known that there exist radially symmetric monotone decreasing optimizers for the fractional Caffarelli-Kohn-Nirenberg inequality in some suitable range of parameters. In this talk we will focus on the behavior of these optimizers in dimension one. We will show that after a suitable normalization they converge to a solution of the Liouville equation in R. As a byproduct we obtain a generalized Onofri`s inequality in dimension one. |
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