The nearest airport is Klagenfurt Airport (app. 20 km).
Cheap flights with airberlin from: Cologne-Bonn - Hamburg - Berlin-Tegel and Dusseldorf at the price of Euro 19,99 (one-way incl. all taxes). Other cheap flights from Graz or Ljubljana (with Ryanair or Easyjet). Transfer from the airport directly to your accomodation is guaranteed with the Shuttle. You can also have cheap flights to Salzburg Airport (with Transavia or airberlin).