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<p>SEMINARIO DI EQUAZIONI DIFFERENZIALI
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Dipartimento di Matematica
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Universitą degli Studi di Roma "Tor Vergata"
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Martedi' 4 dicembre 2018, ore 14:30 Aula Dal Passo
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Benedetta Pellacci (Universitą della Campania ``Luigi
Vanvitelli'')<br>
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Titolo: Asymptotic spherical shapes in some spectral optimization
problems<br>
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Sunto: We study the positive principal eigenvalue of a weighted
problem associated with the Neumann Laplacian. This analysis is
related to the investigation of the survival threshold in
population dynamics. When trying to minimize such eigenvalue with
respect to the weight, one is lead to consider a shape
optimization problem, which is known to admit spherical optimal
shapes only in very specific cases. We investigate whether
spherical shapes can be recovered in general situations, in some
singular perturbation limit. We also consider a related problem,
where the diffusion is triggered by a fractional $s$-Laplacian,
and the optimization is performed with respect to the fractional
order $s\in(0,1]$. These are joint works with Dario Mazzoleni and
Gianmaria Verzini.<br>
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Via della Ricerca Scientifica 1
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00133 Rome (Italy)
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Phone: +39 06 72594668
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Fax: +39 06 72594699
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Email: <a class="moz-txt-link-abbreviated"
href="mailto:molle@mat.uniroma2.it">molle@mat.uniroma2.it</a>
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