Singularities Of Energy-Minimizing Maps From The Ball To The Sphere

Frederick J. Almgren and Elliott H. Lieb
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Frederick J. Almgren: Princeton University, Departments of Mathematics and Physics
Elliott H. Lieb: Princeton University, Departments of Mathematics and Physics

A chapter in Inequalities, 2002, pp 637-639 from Springer

Abstract: Abstract We study maps ϕ from the unit ball B in R3 to the unit sphere S2 in R3 which minimize Dirichlet’s energy integral $$ \varepsilon (\varphi ) = \int {_B} |\nabla \varphi {|^2}dV $$ .

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_50

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DOI: 10.1007/978-3-642-55925-9_50

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