Appellate judges in Utah don't run against opponents. Voters decide whether each one stays in office (yes or no).
Judges do not run against anyone. Voters answer Yes or No on whether each judge stays in office ("Shall ... be retained"). source: vote.utah.gov
Supreme Court and Court of Appeals judges are on every ballot in the state; district, juvenile and justice court judges appear only where they serve. source: vote.utah.gov
Judges on your ballot
Seats from the certified candidate list ↗, which lists the seats but not the names. Names from the sources linked. District judges who face opponents are on each county page.