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Boundary regularity for minimizers of the micromagnetic energy functional

✍ Scribed by Alexander Huber

Book ID
106176450
Publisher
Springer
Year
2011
Tongue
English
Weight
297 KB
Volume
43
Category
Article
ISSN
0944-2669

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Euler-lagrange equation and regularity f
Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
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## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^∞^, and let __g__~__ij__~ = δ~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond