Friday, March 10, 2023 - 11:15 in H2
Nonlocal Liouville type equations in a union of intervals and in the real line
A talk in the Nonlocal Equations: Analysis and Numerics 2023 series by
Matteo Cozzi from Milano
| Abstract: |
We present some recent results concerning a couple of problems for the nonlocal Liouville
equation $(-\Delta)^{\frac12} u = K_\varepsilon e^u$ set in $I \subseteq \mathbb{R}$ and where $K_\varepsilon$ is a family of positive bounded
functions depending on a small parameter $\varepsilon > 0$. Under different assumptions on $I$ and $K_\varepsilon$ ,
we construct families of solutions $\{ u_\varepsilon\}$ which display blowing-up phenomena (as $\varepsilon \searrow 0$) and
non-uniqueness features.
The talk is based on a joint works with L. Battaglia (Roma Tre University), A. J. Fernández
(UAM Madrid), and A. Pistoia (Sapienza University of Rome).
Within the CRC this talk is associated to the project(s): A7 |
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