"whether there exists" is correct and usable in written English.
You can use it when you are asking or wondering about the existence of something. For example: I am wondering whether there exists a solution to this problem.
Those, he wrote, include "whether there exists effective means to guarantee that a corporation uses its Web site in ways that assure broad non-exclusionary access".
Pairwise sequence alignment determines whether there exists a molecular evolutionary relationship between two sequences by comparing similar regions and conserved sites.
(4) Whether there exists unique circumstances which would render alternative representation inadequate.
Whether there exists exact values for these sums are three interesting open problems.
However, whether there exists synergistic effect is unknown.
Invariants of magnetic gradient tensor measured by the array are used to determine whether there exists magnetic heading perturbation.
The problem whether there exists an algorithm recognizing inference rules admissible in TS4 is a long-standing open problem.
The present study was designed to determine whether there exists a target with a wider therapeutic window for LFS treatment.
It is an open problem whether there exists an affine Orlicz Pólya Szegö principle which includes the affine Lp Pólya Szegö principle as special case.
We prove that checking whether there exists a draw in which a player wins is NP-complete, thereby settling an outstanding open problem.
I am aware of the so-called debate as to whether there exists a different standard for staying, rather than dismissing, litigation on forum non conveniens grounds.
