This is the 10390th most frequent Portuguese word.
exista
"Exista" is the subjunctive present form of the verb "existir," meaning "exists" or "may exist."
The verb "exista" is used here in the subjunctive mood to express a hypothetical situation necessary for peace to occur.
Para que haja paz, é necessário que exista respeito.
For there to be peace, it is necessary for respect to exist.
Here, "exista" conveys uncertainty or doubt about the existence of an easy solution, thus the subjunctive mood is appropriate.
Eu não sei se exista uma solução fácil para este problema.
I don't know if there exists an easy solution to this problem.
In this case, the subjunctive "exista" highlights the hope or desire for understanding, not ensuring its actual occurrence.