The wall, dividing the US and Mexico, was Trump's major campaign promise during the 2016 presidential election. It is fiercely opposed by Democrats.
Alabama passed a law banning women from having an abortion even in cases of incest or rape and the Missouri legislature made illegal abortions from eight weeks of pregnancy.
Abortion is one of the most politically divisive issues in the United States and numerous states have tried to limit access to abortions.
The law would require doctors at Louisiana's abortion clinics to have admitting privileges at a hospital less than 50 kilometers away.
Louisiana argues that the risks of complications arising during an abortion procedure mean that patients may need to be transferred to a nearby hospital where doctors could step in.
Chief Justice John Roberts administered the constitutional oath, while retired justice Anthony Kennedy -- who Kavanaugh is replacing -- administered the judicial oath in a private ceremony at the high
Kavanaugh's Senate confirmation hearing raised doubts about his choirboy image and he will join the eight other justices with a cloud hanging over his head.
The near party-line vote was 50-48, capping a fight that seized the national conversation after claims emerged that Kavanaugh had sexually assaulted women three decades ago.