There was an article in the ‘New Scientist’ 12 Jan this year that described experiments, carried out by an Evgeny Podkletnov, that reduce the effects of gravity.
The experiments centred around a superconducting disc cooled to below 40K and levitated with a magnetic field. The disc was then made to rotate at 5000 rpm using an oscillating electric field. It is claimed that objects placed above the rotating disc lost around 1 per cent of their weight. Increasing the rotational velocity seemed to reduce weight even further – up to 2 per cent in later experiments.
Podkletnov has been ridiculed for his claims but he says others have replicated his results.
As yet there is no theoretical explanation of the above results.
Apparently both Boeing and NASA are interested in this technology. NASA I think were trying to replicate this experiment earlier this year.