"whether there exist" is correct and usable in written English.
You can use it when you are asking a question about the possibility of something. For example: "I wonder whether there exist any other solutions to this problem."
In that seminal report he asked "whether mutable sites are distributed at random, or whether there exist portions of the map that are unusually crowded with or devoid of sites".
These findings raise the question of whether there exist links between Islam and economic performance.
Whether they are all mediated by common underlying factors or whether there exist multiple mechanisms remains to be seen.
So we have the question whether there exist multiple ISTs with height lower than n+1 on CQn.
Targets were controlled for their 'semantic competitiveness', that is, whether there exist closely meaning related lexical competitors or not.
Two different hybrid modules are analyzed, and the difference between them lies in whether there exist plate fins beneath the slot jet.
Its purpose is to test whether there exist systematic differences in the extent of spatial dispersion among parties and candidates in the majoritarian and proportional electoral systems.
Whether there exist other layer structures, how the membrane layer was transformed to the carbonate one, what form the carbonate takes after the transition.
The following problem is considered: Given a deficiency one network, determine whether there exist rate constants for it such that the corresponding isothermal mass action differential equations admit multiple positive steady states.
A natural question would be whether there exist several "types" of small-world architectures, giving rise to a continuum of models with properties (partially) shared with other models belonging to different network families.
Based on data collected from Taiwan's creative industries, it investigates what kind of product description would receive positive feedback and whether there exist general pragmatic principles for such descriptions.
