Calcul Des Variations. —Estimations d’énergie pour des applications de R3 à

Elliott H. Lieb, Michael Loss and Mary Beth Ruskai
Additional contact information
Elliott H. Lieb: Princeton University, Departments of Mathematics and Physics
Michael Loss: Georgia Tech, School of Mathematics
Mary Beth Ruskai: University of Massachusetts Lowell, Department of Mathematics

A chapter in Inequalities, 2002, pp 633-636 from Springer

Abstract: Abstract Two problems concerning maps cp with point singularities from a domain} Ω = R3 to S2 are solved. The first is to determine the minimum energy of ϕ when the location and topological degree of the singularities are prescribed. In the second problem Ω is the unit ball and ϕ = g is given on ΦΩ; we show that the only cases in which g (x/|x|) minimizes the energy is g = const, or g(x)= ±R x with R a rotation

Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_49

Ordering information: This item can be ordered from
http://www.springer.com/9783642559259

DOI: 10.1007/978-3-642-55925-9_49

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().