Is "case-sensitively" a word?
The word case-sensitively may be rare outside of technical sites, because the concept is little needed anywhere else. However, it's built out of normal, productive English morphological rules, so it's perfectly licit. I don't believe that there is any other terse alternative.
The term I've seen most often is "case sensitivity." Ergo:
- "A colleague asked me about comparing values in a case-sensitive manner."
This leads naturally to:
- "A colleague asked me about comparing case-sensitive values."
Trying to force the construction into an adverb leads to unhappy results.