Moser, R., 2013. A geometric Ginzburg-Landau problem. Mathematische Zeitschrift, 273 (3-4), pp. 771-792.
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.
|Item Type ||Articles|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Moser_Math-Zeitschrift_2012.pdf: The original publication is available at www.springerlink.com|
|Additional Information||An Errautum to this publication was published in Mathematische Zeitschrift, 2013, see: http://dx.doi.org/10.1007/s00209-013-1245-7|
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