Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
Consider the problem of finding maps f: M--->N that are stationary for an energy functional such as fM IDfl p (where M and N are compact riemannian manifolds and p~>l). Such maps may be found by minimizing the functional, but if we minimize among all maps from M to N, …