Energy estimates for area minimizing hypersurfaces with arbitrary boundaries
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摘要
A notion of constrained least energy is defined for functions mapping a subset of Euclidean space to the circle. Under appropriate hypotheses, existence of such constrained least energy functions is proved. Finally, an integral bound is proved for functions nearly minimizing the constrained energy.
论文关键词:49Q20,49Q05,58E12,35A150
论文评审过程:Received 8 September 1998, Revised 22 April 1999, Available online 14 February 2000.
论文官网地址:https://doi.org/10.1016/S0377-0427(99)00183-1