Erratum to: a geometric Ginzburg-Landau problem

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Abstract

For surfaces embedded in a three-dimensional Euclidean space, consider a functional consisting of two terms: a version of the Willmore energy and an anisotropic area penalising the first component of the normal vector, the latter weighted with the factor TeX . The asymptotic behaviour of such functionals as TeX tends to 0 is studied in this paper. The results include a lower and an upper bound on the minimal energy subject to suitable constraints. Moreover, for embedded spheres, a compactness result is obtained under appropriate energy bounds.
Original languageEnglish
Pages (from-to)611-612
Number of pages2
JournalMathematische Zeitschrift
Volume276
Issue number1-2
DOIs
Publication statusPublished - Feb 2014

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