TY - JOUR
T1 - Erratum to
T2 - a geometric Ginzburg-Landau problem
AU - Moser, Roger
PY - 2014/2
Y1 - 2014/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84892533722&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/s00209-013-1245-7
U2 - 10.1007/s00209-013-1245-7
DO - 10.1007/s00209-013-1245-7
M3 - Article
AN - SCOPUS:84892533722
SN - 0025-5874
VL - 276
SP - 611
EP - 612
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 1-2
ER -