ETD

Archivio digitale delle tesi discusse presso l’Università di Pisa

Tesi etd-06072021-135040

Tipo di tesi

Tesi di dottorato di ricerca

URN

etd-06072021-135040

Titolo

Higher Order Rectifiability Criteria And a Model for Soap Films

Settore scientifico disciplinare

MAT/05 - ANALISI MATEMATICA

Corso di studi

MATEMATICA

Parole chiave

calculus of variations
gamma-convergence
geometric measure theory
metric spaces
Plateau problems
rectifiability
soap films

Data inizio appello

08/06/2021

Consultabilità

Completa

Riassunto (Inglese)

Riassunto (Italiano)

The characterization problem of higher order rectifiable sets and a modelling problem for soap films are studied. In particular, necessary and sufficient geometric and quantitative conditions for a set to be rectifiable (in a higher order sense) are proved in Euclidean and metric spaces. Furthermore, a soap film model in the Euclidean plane is presented as a way to solving the Plateau problem in the plane.

File

Nome file	Dimensione
Report_f...o_IDU.pdf	323.25 Kb
THESIS.pdf	1.43 Mb
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