Skip to main content
SpringerLink
Log in

The Singular Set of Solutions to Non-Differentiable Elliptic Systems

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

Abstract

 We estimate the Hausdorff dimension of the singular set of solutions to elliptic systems of the type

If the vector fields a and b are Hölder continuous with respect to the variable x with exponent α, then the Hausdorff dimension of the singular set of any weak solution is at most n−2α.

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

Author information

Authors and Affiliations

  1. Dipartimento di Matematica Università di Parma Via M. D'Azeglio 85/a 43100 Parma, Italy e-mail: giuseppe.mingione@unipr.it, , , , , , IT

    Giuseppe Mingione

Authors
  1. Giuseppe Mingione
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

(Accepted July 25, 2002) Published online December 6, 2002

Communicated by L. C. Evans

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mingione, G. The Singular Set of Solutions to Non-Differentiable Elliptic Systems. Arch. Rational Mech. Anal. 166, 287–301 (2003). https://doi.org/10.1007/s00205-002-0231-8

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00205-002-0231-8

Keywords

Search

Navigation