Conformally Invariant Dirac Equation with Non-local Nonlinearity
- https://dmi.unife.it/it/eventi/conformally-invariant-dirac-equation-with-non-local-nonlinearity
- Conformally Invariant Dirac Equation with Non-local Nonlinearity
- 2025-05-23T16:30:00+02:00
- 2025-05-23T17:30:00+02:00
- Seminario in presenza del Prof. Ali Maalaoui (Clark University, US)
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Quando
il 23/05/2025 dalle 16:30 alle 17:30
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Seminario in presenza del Prof. Ali Maalaoui (Clark University, US)
Venerdì 23 Maggio, ore 16:30
Aula B3, Palazzo Manfredini
Abstract:
In this talk, I will discuss a conformally invariant equation involving the Dirac operator and a non-linearity of convolution type, on closed compact manifolds. This equation originates from the conformal Dirac-Einstein problem in dimension four, but it can also be seen as a Dirac version of the Choquard equation on manifolds. I will first address the compactness and bubbling phenomena that is pertinent to the problem and then I will present a Brezis-Nirenberg type result related to the linear perturbation of the original problem.
This is a joint work with V. Martino and L. Mbarki.