skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Stuvard, Salvatore"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; ; ; (, Nonlinear Analysis)
    Full Text Available 
  2. ; ; (, Communications on Pure and Applied Mathematics)
    Full Text Available 
  3. ; ; (, Archive for Rational Mechanics and Analysis)
    Full Text Available 
  4. ; ; (, Annales de l'Institut Henri Poincaré C, Analyse non linéaire)
    Full Text Available 
  5. ; ; ; (, Communications on Pure and Applied Mathematics)
    Abstract We establish a theory ofQ‐valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to approximate efficiently area minimizing currentsmod(p)whenp = 2Q, and to establish a first general partial regularity theorem for everypin any dimension and codimension . © 2020 The Authors.Communications on Pure and Applied Mathematicspublished by Wiley Periodicals LLC. 
    more » « less
    Full Text Available 
  6. ; ; ; (, Geometric and Functional Analysis)
    Abstract We establish a first general partial regularity theorem for area minimizing currents$${\mathrm{mod}}(p)$$ mod ( p ) , for everyp, in any dimension and codimension. More precisely, we prove that the Hausdorff dimension of the interior singular set of anm-dimensional area minimizing current$${\mathrm{mod}}(p)$$ mod ( p ) cannot be larger than$$m-1$$ m - 1 . Additionally, we show that, whenpis odd, the interior singular set is$$(m-1)$$ ( m - 1 ) -rectifiable with locally finite$$(m-1)$$ ( m - 1 ) -dimensional measure. 
    more » « less
    Full Text Available