The French right was licking its wounds Monday after seeing up to 15 big cities fall into the hands of French President Francois Mitterrand's governing Socialist party.

First results in the second, conclusive round of municipal elections Sunday showed that in spite of a rash of public sector strikes, the Socialists had wrested control of crucial centers such as Strasbourg, Aix-en-Provence, Dunkirk, Avignon, Brest and Orleans.The right had dominated France's town halls ever since the last elections in 1983, when dissatisfaction with Mitterrand's socialist presidency was at its height.