The Falklands have no indigenous people, they were uninhabited prior to their discovery & colonization, first by the British, then the Argentinians (who themselves were colonists from Spain) & then by the British who kicked the Argies out (for the first time) for settling in their land. To make the Falklands the Malvinas would simply be replacing one colonial power with another.
Therefore the only solution is to allow the right to self determination of the inhabitants, and we all know where that will go which is why the Argentinians won't allow it.
Anyway, we won the war fair & square so the islands must be ours!