Skip to main content
SpringerLink
Log in

A note on the regularity of the free boundaries in the optimal partial transport problem

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

In this work we study the global regularity of the free boundaries arising in the optimal partial transport problem. Assuming the supports of both the source and the target measure to be convex, we show that the free boundaries of the active regions are globally C 0,1/2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Caffarelli, L., McCann, R.J.: Free boundaries in optimal transport and Monge-Ampère obstacle problems, Ann. of Math., to appear.

  2. Figalli, A.: The optimal partial transport problem, Arch. Ration. Mech. Anal., to appear.

Download references

Author information

Authors and Affiliations

  1. UMR 7640, Ecole Polytechnique, Centre de Mathématiques Laurent Schwartz, 91128, Palaiseau, France

    Alessio Figalli

Authors
  1. Alessio Figalli
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alessio Figalli.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Figalli, A. A note on the regularity of the free boundaries in the optimal partial transport problem. Rend. Circ. Mat. Palermo 58, 283–286 (2009). https://doi.org/10.1007/s12215-009-0022-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12215-009-0022-2

Keywords

Mathematics Subject Classification (2000)

Search

Navigation