Care tutte, cari tutti,
per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 20 febbraio alle 17 in Aula Magna, avremo il piacere di ascoltare Raoní Cabral Ponciano (UFABC, Brasile), che terrà un seminariohttps://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2 dal titolo "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces”. Trovate l'abstract qui sotto.
Il seminariohttps://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a successivo sarà giovedì 27, con oratore Giorgio Tortone (UniPi). Seguiranno dettagli.
A presto, Ilaria Lucardesi e Luigi Forcella
----------------------------------- Dear all, on Thursday February 20th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Raoní Cabral Ponciano (UFABC, Brazil). The title of the talkhttps://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2 is "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces". Please find the abstract below.
The following seminarhttps://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a will be on thursday 27th, with speaker Giorgio Tortone (UniPi). Details will follow.
See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Raoní Cabral Ponciano (UFABC, Brazil)
Title: Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces
Abstract: Embedding theorems for symmetric functions without any boundary conditions have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have only been established on hyperbolic spaces for functions with homogeneous Dirichlet conditions. In this presentation, we focus on sharp Sobolev and Adams–Trudinger–Moser embeddings for radial functions in hyperbolic spaces, considering both bounded and unbounded domains. One of the main features of our approach is that we do not assume any boundary conditions for symmetric functions on geodesic balls or the entire hyperbolic space. Our main results establish weighted Sobolev embedding theorems and present Adams-Trudinger-Moser type of embedding theorems. In particular, a key result is a highly nontrivial comparison between norms of the higher-order covariant derivatives and higher-order derivatives of the radial functions. Higher-order asymptotic behavior of radial functions on hyperbolic spaces is established to prove our main theorems. This approach includes novel radial lemmas and decay properties of higher-order radial Sobolev functions defined in hyperbolic space.
Care tutte, cari tutti,
per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 27 febbraio alle 17 in Aula Magna, avremo il piacere di ascoltare Giorgio Tortone (Università di Pisa), che terrà un seminariohttps://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a dal titolo "Some remarks on singular capillary cones with free boundary". Trovate l'abstract qui sotto.
Vi ricordiamo inoltre il seminariohttps://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2 di oggi pomeriggio alle 17 in Aula Magna di Raoní Cabral Ponciano (UFABC, Brazil).
A presto, Ilaria Lucardesi e Luigi Forcella
----------------------------------- Dear all, on Thursday February 27th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Giorgio Tortone (Università di Pisa). The title of the talkhttps://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a is "Some remarks on singular capillary cones with free boundary". Please find the abstract below.
We remind you of the seminarhttps://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2 of today at 5PM in Aula Magna by Raoní Cabral Ponciano (UFABC, Brazil). See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Giorgio Tortone (Università di Pisa)
Title: Some remarks on singular capillary cones with free boundary
Abstract: We discuss the existence of minimizing singular cones with free boundary associated to the capillarity problem. Precisely, we provide a stability criterion à la Jerison-Savin for capillary hypersurfaces and show that, in dimensions up to 4, minimizing cones with non-sign-changing mean curvature are flat. We apply this criterion to minimizing capillary drops and, additionally, establish the instability of non-trivial axially symmetric cones in dimensions up to 6. The main results are based on a Simons-type inequality for a class of convex, homogeneous, symmetric functions of the principal curvatures, combined with a boundary condition specific to the capillary setting. This is based on a joint work with A. Pacati (ETHz) and B. Velichkov (UniPi).
Care tutte, cari tutti,
per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 13 marzo alle 17 in Aula Magna, avremo il piacere di ascoltare Marco Michetti (Sapienza Università di Roma), che terrà un seminariohttps://www.dm.unipi.it/seminario/?id=679b71433e96782493b4eb49 dal titolo "Structure of the Robin Harmonic Measure on Rough Domains”. Trovate l'abstract qui sotto.
A presto, Ilaria Lucardesi e Luigi Forcella
----------------------------------- Dear all, on Thursday March 13th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Marco Michetti (Sapienza Università di Roma). The title of the talkhttps://www.dm.unipi.it/seminario/?id=679b71433e96782493b4eb49 is "Structure of the Robin Harmonic Measure on Rough Domains". Please find the abstract below.
See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Marco Michetti (Sapienza Università di Roma)
Title: Structure of the Robin Harmonic Measure on Rough Domains
Abstract: In this talk we will present the Robin harmonic measure and how it behaves on non smooth domains. In particular we will prove that, in contrast with respect to the Dirichlet case, Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any (quantifiably) connected domain for any elliptic operator. This stands in contrast with analogous results for the Dirichlet boundary value problem where rectifiability is necessary in order to have mutual absolute continuity. Moreover Robin harmonic measures exhibit no dimension drop that is a classical phenomenon in the Dirichlet counterpart. This is a joint work with: Guy David, Stefano Decio, Max Engelstein and Svitlana Mayboroda.
Carissimi/e, in aggiunta al seminario di Analisi previsto per giovedì prossimo, la prossima settimana ci sarà anche un seminario di Teoria Geometrica della Misura:
mercoledì 12 marzo, ore 17-18, Sala Riunioni speaker: Alan Chang (Washington University in St. Louis) titolo: Euclidean distortion of quasisymmetrically Hilbertian metric spaces (vedere sotto per l'abstract)
Saluti,
Giovanni Alberti
--------------- Dear all, in addition to the Analysis seminar scheduled for next Thursday, next week there will also be a seminar on Geometric Measure Theory:
Wednesday, March 12, 5.00-6.00 PM, Sala Riunioni speaker: Alan Chang (Washington University in St. Louis) title: Euclidean distortion of quasisymmetrically Hilbertian metric spaces
abstract: In this talk, we will discuss quantitative bounds on bi-Lipschitz embeddings of certain finite metric spaces into Euclidean space. We will see some ideas in the proofs as well as some geometric and algorithmic applications. This is joint work with Assaf Naor and Kevin Ren.
Regards,
Giovanni Alberti
analysis-seminar@lists.dm.unipi.it
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Giovanni Alberti -
Ilaria Lucardesi