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Cari colleghi,<br>
<br>
vi segnalo il prossimo seminario di Equazioni Differenziali a Tor
Vergata:<br>
<br>
Martedi' 8 Ottobre 2013, h <font color="#ff0000">15:00</font>, Aula
D’Antoni<br>
Luca Martinazzi (Università di Basilea)<br>
"The Moser-Trudinger embedding on the unit disk" <br>
<br>
We study the Moser-Trudinger equation<br>
$Delta u = lambda uExp(u2),lambda>0$<br>
on a 2-dimensional disk, arising from the Moser-Trudinger sharp
embedding of H1_0(Disk) into the Orlicz space of functions uwith
Exp(u2) integrable. We answer some long standing open questions:<br>
a) The weak limit of a blowing-up sequence of solutions to
theMoser-Trudinger equation on a disk is 0<br>
b) The Dirichlet energy of a blowing-up sequence of solutions on
adisk converges to 4pi.<br>
c) For L large enough, the Moser-Trudinger equation on a disk
admitsno solution with Dirichlet energy larger than L.<br>
This work is joint project with Andrea Malchiodi (SISSA - Trieste)<br>
<pre class="moz-signature" cols="72">--
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: <a class="moz-txt-link-abbreviated" href="mailto:castorin@mat.uniroma2.it">castorin@mat.uniroma2.it</a>
tel: +390672594653</pre>
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