Pengzi Miao, "Minimizing energy among homotopic maps", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 485096, 13 pages, 2004. https://doi.org/10.1155/S0161171204305053
Minimizing energy among homotopic maps
We study an energy minimizing sequence in a fixed homotopy class of smooth maps from a -manifold. After deriving an approximate monotonicity property for and a continuous version of the Luckhaus lemma (Simon, 1996) on , we show that, passing to a subsequence, converges strongly in topology wherever there is small energy concentration.
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