Quick Search:

uzh logo
Browse by:

Zurich Open Repository and Archive

Maintenance: Tuesday, 5.7.2016, 07:00-08:00

Maintenance work on ZORA and JDB on Tuesday, 5th July, 07h00-08h00. During this time there will be a brief unavailability for about 1 hour. Please be patient.

Ambrosio, L; De Lellis, C; Mantegazza, C (1999). Line energies for gradient vector fields in the plane. Calculus of Variations and Partial Differential Equations, 9(4):327-255.

Full text not available from this repository.

View at publisher


In this paper we study the singular perturbation of by . This problem, which could be thought as the natural second order version of the classical singular perturbation of the potential energy by , leads, as in the first order case, to energy concentration effects on hypersurfaces. In the two dimensional case we study the natural domain for the limiting energy and prove a compactness theorem in this class.


55 citations in Web of Science®
58 citations in Scopus®
Google Scholar™


Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:singular perturbation problems; energy concentration effects; eikonal equation; integral functional
Deposited On:29 Nov 2010 16:27
Last Modified:05 Apr 2016 13:26
Publisher DOI:10.1007/s005260050144
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1731470

Users (please log in): suggest update or correction for this item

Repository Staff Only: item control page