In problems like these, where there are minimal numbers of pieces, there's some hidden trick. I think for an experienced solver, the B on b8, stuck behind an unmoved pawn, is the giveaway. White has all the light-squared control because of the B & K, but minimal dark-squared control.
I don't know who composed this, but it turned up on an FB group I'm a member of. It could be Henri Rinck, a Belgian French* composer of some of the cleverest problems I have seen. I think it was the 150th anniversary of his birth last week.
*I just checked. I don't know why I thought he was Belgian.