The Slightest Hope of Victory. Outside Context Problem, #3

The aliens have landed ... and Earth will never be the same.  A third of the world is occupied, groaning under the weight of alien oppression, while the remainder is in chaos or preparing desperately for the final battle.  As the aliens unveil their long-term plans for humanity, a horror unmatched by any purely human foe, it becomes clear that the end will not be long delayed.  Humanity's darkest hour is at hand.
But humanity will never give up, not as long as there remains a slightest hope of victory.  From the heartland of America to the skies over Britain, from the deepest depths of the ocean to the cold darkness of space, the battle to decide the future of two races is yet undecided ... And the Battle for Earth has yet to be won.