greco

Giu 222018
 

On Thursday, June 28th, 2018, at 11 am, prof. Marcello Lucia from the City University of New York will give a talk on

A rigidity theorem for an overdetermined problem

The talk will take place at Palazzo delle Scienze, room C (ground floor).

All interested people are kindly invited

Antonio Greco
________________________________________________________

A rigidity theorem for an overdetermined problem

Abstract

On a bounded simply connected domain of RN, consider the Laplacian eigenvalue problem with overdetermined boundary conditions, where both constant Dirichlet and zero Neumann boundary data are prescribed. This overdetermined problem admits a solution for instance in a disc, as can be seen by considering Neumann radial eigenfunctions. A conjecture due to Schiffer states that the ball is in fact the only possible domain where such problem can be solved. In dimension three, this rigidity theorem has recently been obtained by Ramm, but remains open in other dimensions.

In this talk we will discuss this type of overdetermined condition in dimension two for a general semilinear problem. We show that a rigidity theorem holds if in addition some higher normal derivatives are constant along the boundary. This is a joint work with Bernd Kawohl (University of Cologne).

Mag 232018
 

Lecturer: Marcello Lucia, Professor at the City University of New York

Dates: from Monday, May 28th, to Wednesday, June 13th

Location: Palazzo delle Scienze, via Ospedale 72, Cagliari

Summary. Calculus of Variations is a fundamental branch of Mathematical Analysis which has been deeply developed since its foundation. Born in connection with problems from Mathematical Physics, it is an extremely actual field of research due the theoretical defies it poses to the intellect as well as to its wide range of applications.Subject: variational methods (including minimization of variational integrals and critical points theory) for solving partial elliptic equations of elliptic type, with applications to isoperimetric inequalities and eigenvalue problems.
The course is structured in 10 lectures of two hours each, and should be accessible with minimal prerequisites, i.e., a convenient number of the lectures is devoted to build up the necessary knowledge for a fruitful attendance of the subsequent ones.

For further information: see the timetable or contact Antonio Greco


Visiting Professor Programme, financially supported by Regione Autonoma della Sardegna

Mag 212018
 

Lecturer: Marcello Lucia, Professor at the City University of New York

Dates: from Monday, May 28th, to Wednesday, June 13th

Location: Palazzo delle Scienze, via Ospedale 72, Cagliari

Summary. Calculus of Variations is a fundamental branch of Mathematical Analysis which has been deeply developed since its foundation. Born in connection with problems from Mathematical Physics, it is an extremely actual field of research due the theoretical defies it poses to the intellect as well as to its wide range of applications.Subject: variational methods (including minimization of variational integrals and critical points theory) for solving partial elliptic equations of elliptic type, with applications to isoperimetric inequalities and eigenvalue problems.
The course is structured in 10 lectures of two hours each, and should be accessible with minimal prerequisites, i.e., a convenient number of the lectures is devoted to build up the necessary knowledge for a fruitful attendance of the subsequent ones.

For further information: see the timetable or contact Antonio Greco


Visiting Professor Programme, financially supported by Regione Autonoma della Sardegna

Feb 162018
 

Lunedì 19 febbraio, alle ore 12, il prof. Giulio Ciraolo dell’Università di Palermo terrà una conferenza dal titolo:
“Stime quantitative per ipersuperifici a curvatura media quasi costante”.
La conferenza si terrà al Palazzo delle Scienze, in una delle due aulette nel piano mezzanino (aula E).

Tutti gli interessati sono cordialmente invitati

Antonio Greco
________________________________________________________

Stime quantitative per ipersuperifici a curvatura media quasi costante

Sunto. Discuteremo alcune versioni quantitative del Teorema di Alexandrov della bolla di sapone, che afferma che le sfere sono le sole ipersuperfici chiuse embedded a curvatura media costante.
In particolare, considereremo ipersuperfici con curvatura media vicina ad una costante e descriveremo in maniera quantitativa la vicinanza ad una singola sfera o ad una collezione di sfere tangenti di raggio uguale in termini dell’oscillazione della curvatura media.
Inoltre considereremo il problema analogo in ambito nonlocale, mostrando come l’effetto nonlocale implichi una maggiore rigidità del problema e prevenga la formazione di più bolle.

Mar 292017
 

Il Prof. Biagio Ricceri, dell’Università di Catania, visiterà il nostro Dipartimento nei giorni dal 3 aprile al 5 aprile 2017.

Lunedì 3 aprile alle 16:00, nell’aula B (sede di via Ospedale) il Prof. Ricceri terrà un seminario intitolato

SU CERTI RISULTATI, PROBLEMI E PROSPETTIVE DI RICERCA IN ANALISI

Sunto: In questo seminario, offrirò una panoramica di alcuni risultati in vari campi dell’Analisi, evidenziando, in particolare, i problemi aperti e le prospettive di ricerca ad essi connessi.

I docenti, i dottorandi e gli studenti interessati sono calorosamente invitati a partecipare.

Cordiali saluti
Antonio Iannizzotto

Set 132016
 

Dal 19 al 21 settembre 2016, presso l’hotel Flamingo di Santa Margherita di Pula, si svolgerà il convegno

Geometric properties of solutions to elliptic and parabolic problems

cofinanziato dal Dipartimento di Matematica e Informatica e dal PRIN 2012 “Aspetti variazionali e perturbativi nei problemi differenziali nonlineari”. Maggiori informazioni sul sito https://sites.google.com/site/workshopgeomcagliari/

Antonio Greco

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