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

Award ID contains: 2143719

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. ; (, The Journal of Geometric Analysis)
    Abstract In this note we show that the support of a locallyk-uniform measure in$${\mathbb {R}}^{n+1}$$ R n + 1 satisfies a kind of unique continuation property. As a consequence, we show that locally uniformly distributed measures satisfy a weaker unique continuation property. This continues work of Kirchheim and Preiss (Math Scand 90(1): 152-160, 2002) and David, Kenig and Toro (Comm Pure Appl Math 54(4): 385-449, 2001) and lends additional evidence to the conjecture proposed by Kowalski and Preiss (J Reine Angew Math 379: 115-151, 1987) that each connected component of the support of a locallyn-uniform measure in$${\mathbb {R}}^{n+1}$$ R n + 1 is contained in the zero set of a quadratic polynomial. 
    more » « less
    Free, publicly-accessible full text available May 1, 2026
  2. ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous function, the solution is the half-plane solution. This answers, in the salient dimensions, a one-phase free boundary analogue of Bernstein’s problem for minimal surfaces.As an application, we also classify monotone solutions of semilinear equations with a bump-type nonlinearity. 
    more » « less
    Full Text Available 
  3. ; ; (, Vietnam Journal of Mathematics)
    Full Text Available 
  4. (, The Journal of Geometric Analysis)
    Full Text Available 
  5. ; ; (, Advances in Mathematics)
    Full Text Available 
  6. ; ; (, Journal de l’École polytechnique — Mathématiques)
    Full Text Available 
  7. ; (, Ars inveniendi analytica)
    {} 
    more » « less
    Full Text Available