<div dir="ltr"><p class="" style="text-align:center"><span style="font-size:18pt;font-family:'Times New Roman',serif">SEMINARIO
DI MATEMATICA</span></p>
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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">mercoledì 22 luglio 2015</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>
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<pre style="text-align:center"><b><span style="font-size:22pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">David Ruiz</span></b></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif">Departamento de Analisis Matematico</span></i></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif">Universidad de Granada</span></i></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></i></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></i></pre>
<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:'Times New Roman',serif">Terrà un
seminario dal titolo:</span></p>
<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">“<span class=""><span style="background-image:initial;background-repeat:initial"> </span></span><span style="color:black;background-image:initial;background-repeat:initial">A rigidity result for overdetermined elliptic
problem in the plain.<span class=""> </span></span>”</span></b></p>
<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif"> </span></b></p>
<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif"> </span></b></p>
<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:'Times New Roman',serif">Abstract:</span></b></p>
<p class="MsoNormal" style="text-align:justify;background-image:initial;background-repeat:initial"><span lang="EN-US" style="font-family:'Times New Roman',serif"> <i><span style="background-image:initial;background-repeat:initial">In
this talk we consider an overdetermined elliptic problem posed in an unbounded
domain of the plane. This kind of problems appears in many different contexts,
like free boundary problems, obstacle problems and optimization.</span></i></span></p>
<p class="MsoNormal" style="text-align:justify;background-image:initial;background-repeat:initial"><i><span lang="EN-US" style="font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">We prove that if the
boundary of the domain is connected and unbounded the domain must be a
half-plane. This gives an anwer to a question raised by Berestycki, Caffarelli
and Nirenberg in 1997.</span></i><i><span lang="EN-US" style="font-family:'Times New Roman',serif"><br>
<span style="background-image:initial;background-repeat:initial">This is joint work with Antonio Ros (U. Granada)
and P. Sicbaldi (U. Aix Marseille).</span>.<span style="background-image:initial;background-repeat:initial"></span></span></i></p>
<p class=""><i><span lang="EN-US" style="font-family:'Times New Roman',serif"> </span></i></p>
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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Classe di Scienze
Matematiche e Naturali</span></p>
<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> </span></p><div><div class="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
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