F. J. Almgren, Élliott H. Lieb
Abstract
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We study maps ϕ from the unit ball B in R3 to the unit sphere S2 in R3 which minimize Dirichlet’s energy integral $$ \varepsilon (\varphi ) = \int {_B} |\nabla \varphi {|^2}dV $$ .
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We study maps ϕ from the unit ball B in R3 to the unit sphere S2 in R3 which minimize Dirichlet’s energy integral $$ \varepsilon (\varphi ) = \int {_B} |\nabla \varphi {|^2}dV $$ .
Key concepts: Ball (mathematics), Gravitational singularity, Mathematics, Geometry, Mathematical analysis