A Volume Constrained Variational Problem with Lower-Order Terms

We study a one-dimensional variational problem with two or more level set constraints. The existence of global and local minimizers turns out to be dependent on the regularity of the energy density. A complete characterization of local minimizers and the underlying energy landscape is provided. The

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Bibliographic Details
Published in:Applied mathematics & optimization 2003-06, Vol.48 (1), p.21-38
Main Authors: Morini, Massimiliano, Rieger, Marc Oliver
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ENERGY DENSITY
Neighborhoods
ONE-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
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Description
Summary:We study a one-dimensional variational problem with two or more level set constraints. The existence of global and local minimizers turns out to be dependent on the regularity of the energy density. A complete characterization of local minimizers and the underlying energy landscape is provided. The
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-003-0766-6