By default, when you create a new database on an on-premise SQL Server, the database options of isolation level, READ_COMMITTED_SNAPSHOT and ALLOW_SNAPSHOT_ISOLATION, should be turned OFF (default settings in the model database). But in Azure SQL DB, both of them are turned ON and can't be turned off (ref.: http://msdn.microsoft.com/en-us/library/ee336245.aspx#isolevels). You can check the difference by running the following statement:
SELECT name, snapshot_isolation_state, is_read_committed_snapshot_on FROM sys.databases
So, if you migrate your database from on-premise SQL Server to Azure SQL, make sure your program code doesn't depend on Shared Locks to maintain data integrity.