TY - JOUR
T1 - A geometric Ginzburg-Landau problem
AU - Moser, Roger
N1 - An Errautum to this publication was published in Mathematische Zeitschrift, 2013, see: http://dx.doi.org/10.1007/s00209-013-1245-7
PY - 2013/4
Y1 - 2013/4
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 1/epsilon^2. The asymptotic behaviour of such functionals as epsilon 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 1/epsilon^2. The asymptotic behaviour of such functionals as epsilon 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=84874945441&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/s00209-012-1029-5
UR - http://dx.doi.org/10.1007/s00209-013-1245-7
U2 - 10.1007/s00209-012-1029-5
DO - 10.1007/s00209-012-1029-5
M3 - Article
SN - 0025-5874
VL - 273
SP - 771
EP - 792
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3-4
ER -