[CvGmt News] seminario Martinazzi 8/10

[Daniele Castorina]

Cari colleghi,

vi segnalo il prossimo seminario di Equazioni Differenziali a Tor Vergata:

Martedi' 8 Ottobre 2013, h 15:00, Aula D'Antoni
Luca Martinazzi (Università di Basilea)
"The Moser-Trudinger embedding on the unit disk"

We study the Moser-Trudinger equation
$Delta u = lambda uExp(u2),lambda>0$
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:
a) The weak limit of a blowing-up sequence of solutions to 
theMoser-Trudinger equation on a disk is 0
b) The Dirichlet energy of a blowing-up sequence of solutions on adisk 
converges to 4pi.
c) For L large enough, the Moser-Trudinger equation on a disk admitsno 
solution with Dirichlet energy larger than L.
This work is joint project with Andrea Malchiodi (SISSA - Trieste)

-- 
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: castorin at mat.uniroma2.it
tel: +390672594653

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