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Digital archive of theses discussed at the University of Pisa

 

Thesis etd-06072021-135040


Thesis type
Tesi di dottorato di ricerca
Author
IDU, OBINNA KENNEDY
URN
etd-06072021-135040
Thesis title
Higher Order Rectifiability Criteria And a Model for Soap Films
Academic discipline
MAT/05
Course of study
MATEMATICA
Supervisors
tutor Alberti, Giovanni
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
Summary
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.
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