Skip to main content
SpringerLink
Log in

A note on the Hodge theory for functionals with linear growth

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract:

We study the Hodge decomposition of L 1-(and measure-) differential forms over a compact manifold without boundary, giving positive results and counterexamples. The theory is then applied to the relaxation and minimization, in cohomology classes, of convex functionals with linear growth. This corresponds to a non-linear version of the Hodge theory, in the spirit of L. M. Sibner and R. J. Sibner [SS].

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 Trento, Via Sommarive 14, I-38050 Povo (TN), Italy. e-mail: baldo@science.unitn.it, , , , , , IT

    Sisto Baldo & Giandomenico Orlandi

Authors
  1. Sisto Baldo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Giandomenico Orlandi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 19 November 1997 / Revised version: 18 May 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baldo, S., Orlandi, G. A note on the Hodge theory for functionals with linear growth. manuscripta math. 97, 453–467 (1998). https://doi.org/10.1007/s002290050114

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002290050114

Search

Navigation