1 research outputs found
Minimizing energy among homotopic maps
We study an energy minimizing sequence {ui} in a fixed
homotopy class of smooth maps from a 3-manifold. After deriving
an approximate monotonicity property for {ui} and a
continuous version of the Luckhaus lemma (Simon, 1996) on S2, we
show that, passing to a subsequence, {ui} converges strongly
in W1,2 topology wherever there is small energy
concentration