We are taking a Scandinavian cruise next summer which ends up in Stockholm. We want to fly from Stockholm to the south of France - Marseilles, Toulon, Montpellier,or Nice - are there any discount airlines - such as EasyJet or Ryan Air - that have cheap fares Corsica flight?
We recommend searching on the website Sky Scanner (www.skyscanner.com) as this will search all the European budget carriers in one place. If you check a website such as Kayak, it will just catch the major airlines mostly but Sky Scanner checks every little budget airline you can imagine. Also, you can do ambiguous searches on there rather than entering "Stockholm to Bastia," you could put "Sweden to Bastia" and it will show you all the places in Sweden where you can fly to Corsica as well as prices. This is not the best example as you probably only want to go out of Stockholm, but just for future reference if you were using it for another country with more options. Unfortunately, in just doing a quick search on Sky Scanner, it doesn't look like there are any budget carriers that go this route but perhaps your particular date will produce better results. You could also fly into Pisa or Nice as there are decent flights between Stockholm and those cities, then boat to Corsica.
I recommend that you try to book either with norwegian or SAS - I take trips quite regular to Nice and those are the two airlines I can recommend.