<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">Giovedì 17 settembre 2015</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>

<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">ore 16:00</span></p>

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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><u><span style="font-size:16pt;font-family:'Times New Roman',serif">Scuola Normale Superiore</span></u></p>

<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">Pisa</span></p>

<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">Aula Bianchi Scienze</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">Norihisa Ikoma<span class=""> </span></span></b></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Kanazawa Univesrity</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"><span style="font-size:16pt;font-family:'Times New Roman',serif"><br></span></p>

<p class="MsoNormal" align="center" style="text-align:center"><b><font size="4">"Existence and nonexistence of positive solutions for some elliptic equation </font><span style="font-size:large">involving the Pucci operators"</span></b></p><p class="MsoNormal" align="center" style="text-align:center"><b><span style="font-size:large"><br></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"><span lang="EN-US" style="font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">This talk is based on joint work with</span><span lang="EN-US" style="font-family:'Times New Roman',serif"> <span style="background-image:initial;background-repeat:initial">Patricio Felmer
(Universidad de Chile) and</span></span> <span style="background-image:initial;background-repeat:initial">we
study the elliptic equation on the one-dimensional whole space,</span> <span style="background-image:initial;background-repeat:initial">which has the Pucci operators, the power-type
nonlinearity</span> <span style="background-image:initial;background-repeat:initial">and potential
function.</span> <span style="font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">This equation is a generalized version of the
well-known</span><span style="font-family:'Times New Roman',serif"> <span style="background-image:initial;background-repeat:initial">semilinear elliptic problem and</span></span>
<span style="background-image:initial;background-repeat:initial">we show the existence (or nonexistence) of
positive solutions</span> <span style="background-image:initial;background-repeat:initial">under some
conditions on the potential function.</span><b><span lang="EN-US" style="font-family:'Times New Roman',serif"></span></b></p>

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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Tutti gli
interessati sono invitati a partecipare.</span></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><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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