[CvGmt News] Seminario H. Tavares (02/07/2019)

[Riccardo Molle]

SEMINARIO DI EQUAZIONI DIFFERENZIALI

Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"


Martedì 2 luglio 2019, ore 14:30 Aula Dal Passo

Hugo Tavares  (Universidade de Lisboa)

Titolo: Least energy solutions of Hamiltonian elliptic systems with 
Neumann boundary conditions

Sunto: In this talk we will discuss existence and qualitative properties 
of solutions to a class of Hamiltonian elliptic systems with Neumann 
boundary conditions ,both in the sublinear and superlinear problems, in 
the subcritical regime. In balls and annuli we show that least energy 
solutions (l.e.s.) are /not/ radial functions, but only partially 
symmetric (namely foliated Schwarz symmetric). A key element in the 
proof is a new L^t-norm-preserving transformation, which combines a 
suitable flipping with a decreasing rearrangement. This combination 
allows us to treat annular domains, sign-changing functions, and Neumann 
problems, which are non-standard settings to use rearrangements and 
symmetrizations.  Our theorems also apply to the scalar associated 
model, where our approach provides new results as well as alternative 
proofs of known facts. This is a joint work with Alberto Saldaña.


(*) this seminar is part of the activity of the MIUR Excellence 
Department Project CUP E83C18000100006

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http://www.mat.uniroma2.it/~ricerca/analis/Seminario%20di%20Equazioni%20Differenziali.html

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Via della Ricerca Scientifica 1
00133 Rome (Italy)

Phone: +39 06 72594668
Fax:   +39 06 72594699
Email: molle at mat.uniroma2.it

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