Thesis etd-06072021-135040 |
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Thesis type
Tesi di dottorato di ricerca
URN
etd-06072021-135040
Thesis title
Higher Order Rectifiability Criteria And a Model for Soap Films
Academic discipline
MAT/05 - ANALISI MATEMATICA
Course of study
MATEMATICA
Supervisors
.
tutor Alberti, Giovanni
commissario Magnani, Valentino
commissario Vittone, Davide
commissario Marchese, Andrea
commissario Magnani, Valentino
commissario Vittone, Davide
commissario Marchese, Andrea
Keywords
- calculus of variations
- gamma-convergence
- geometric measure theory
- metric spaces
- Plateau problems
- rectifiability
- soap films
Graduation session start date
08/06/2021
Availability
Full
Abstract (Inglese)
Abstract (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 |
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| Report_f...o_IDU.pdf | 323.25 Kb |
| THESIS.pdf | 1.43 Mb |
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