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<p>SEMINARIO DI EQUAZIONI DIFFERENZIALI </p>
<br>
Dipartimento di Matematica <br>
Università degli Studi di Roma "Tor Vergata" <br>
<br>
Martedì 14 maggio 2019, ore 15:00 Aula Dal Passo <br>
<br>
Yeyao Hu (University of Texas at San Antonio) <br>
Titolo: Uniqueness and symmetry of solutions to a mean field
equation on tori.<br>
<br>
<div>Sunto: We prove a sharp uniqueness result of a mean<br>
field equation on arbitrary flat tori. We first establish
the evenly<br>
symmetry of the solutions by the newly invented sphere
covering<br>
inequality which is of independent interest. Then we
employ a careful<br>
nodal line analysis together with a homotopic argument to
show the<br>
uniqueness.<br>
<br>
<span style="font-size:9.0pt;line-height:107%;font-family:
"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US"><strong><i>N.B.:</i></strong></span><em><span
style="font-size:10.0pt;line-height:107%;mso-ansi-language:EN-US"
lang="EN-US"> this seminar is part of the activity of
the MIUR Excellence Department Project CUP
E83C18000100006</span></em> </div>
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