Le proposte di nuovi seminari vanno inviate al Prof. Sandro Coriasco - sandro.coriasco[AT]unito.it o alla Prof.ssa Vivina Barutello - vivina.barutello[AT]unito.it 

E' possibile tenere i seminari, e/o parteciparvi, anche tramite applicativi di web-conferencing, previo accordo con gli organizzatori

 

Stampa

SEMINARI DI ANALISI MATEMATICA

Evento 

Titolo:
Vectorial problems: sharp Lipschitz bounds and borderline regularity
Quando:
15.01.2020 11.30 h
Dove:
Palazzo Campana - Torino
Aula:
Sala S
Relatore:
Dott.ssa Cristiana De Filippis
Afferenza:
University of Oxford
Proponente:
S. Terracini
Locandina:
Locandina

Descrizione

Non-uniformly elliptic functionals are variational integrals like
$$
W^{1,1}_{loc}(\Omega,\mathbb{R}^{N})\ni w\mapsto \int_{\Omega} \left[F(x,Dw)-f\cdot w\right] \,dx,
$$
characterized by quite a wild behavior of the ellipticity ratio associated to their integrand $F(x,z)$, in the sense that the quantity
$$
\sup_{\substack{x\in B \\ B\Subset \Omega \ \mbox{\small{open ball}}}}\mathcal R(z, B):=\sup_{\substack{x\in B \\ B\Subset \Omega \ \mbox{\small{open ball}}}} \frac{\mbox{highest eigenvalue of}\ \partial_{z}^{2} F(x,z)}{\mbox{lowest eigenvalue of}\ \partial_{z}^{2} F(x,z)} $$
may blow up as $|z|\to \infty$. We analyze the interaction between the space-depending coefficient of the integrand and the forcing term $f$ and derive optimal Lipschitz criteria for minimizers of \eqref{0}. We are able to catch the main model cases in the literature, such as
$$
w \mapsto \int_{\Omega} \gamma_1(x)\left[\exp(\exp(\dots \exp(\gamma_2(x)|Dw|^{p(x)})\ldots))-f\cdot w \right]\, dx
$$
or
$$
w\mapsto \int_{\Omega}\left[|Dw|^{p(x)}+a(x)|Dw|^{q(x)}-f\cdot w\right] \,dx.
$$
Finally, we find new results also in the uniformly elliptic case, i.e. when
$$\mathcal{R}(z,B)\equiv \mbox{const}\quad \mbox{for all balls} \ \ B\Subset \Omega.$$

Sede

Mappa
Sede:
Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto, 10
Cap:
10123
Città:
Torino
Provincia:
To
Paese:
Paese: it

Descrizione

Dipartimento di Matematica, Università degli Studi di Torino

masoz istanbul evden eve nakliyat Fragman sirinevler escort sisman porno