Skip to main content
SpringerLink
Log in

Singularities of positive supersolutions in elliptic PDEs

  • Original Paper
  • Published:
Selecta Mathematica Aims and scope Submit manuscript

Abstract.

We present several extensions of the Brezis–Lions Lemma on removable singularities. We also give a positive answer to a question raised by H. Brezis and M. Marcus about an “inverse” maximum principle for the Laplacian.

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. Laboratoire Amiénois de Mathématique, Fondamentale et Appliquée, Faculté de Mathématiques et d’Informatique, Université Picardie Jules Verne, 33, rue Saint-Leu, 80039, Amiens Cedex 1, France

    Louis Dupaigne

  2. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte courier 187, 75252, Paris Cedex 05, France

    Augusto C. Ponce

  3. Department of Mathematics, Rutgers University, Hill Center, Busch Campus, 110 Frelinghuysen Rd., Piscataway, NJ, 08854, USA

    Augusto C. Ponce

Authors
  1. Louis Dupaigne
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Augusto C. Ponce
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Augusto C. Ponce.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dupaigne, L., Ponce, A.C. Singularities of positive supersolutions in elliptic PDEs. Sel. math., New ser. 10, 341 (2004). https://doi.org/10.1007/s00029-004-0390-6

Download citation

  • DOI: https://doi.org/10.1007/s00029-004-0390-6

Mathematics Subject Classification (2000).

Key words.

Search

Navigation