The case of Williams v. North Carolina (317 U.S. 287 (1942)) said that once a divorce is
effective in a State, it must be given full faith and credit in
every other State. However, the second version of Williams v. North
Carolina (325 U.S. 226 (1945)) every
succeeding State can make an inquiry into whether the rendering State had jurisdiction
to grant the divorce.
Usually the issue is that the
person seeking the divorce was not domiciled in the granting State or did not meet the State's residency
requirements.
Remember, the State makes
its own rules for jurisdiction. Nevada only requires 6 weeks to
establish residency, while Utah
requires 1 year to establish residency. You can't win in Utah by claiming that
Nevada's residency requirement
is too lenient, you can only win by claiming that the divorcee didn't
live in Nevada for 6 weeks.