Can I run Campagnolo 10 speed chainrings on 11 speed crank arms? I  have been using a Campagnolo Chorus 10 speed compact for a while. Recently  the thread insert for the pedals came out with my pedal while riding.   Just before this happened I had ordered new compact chainrings. 
Can I take an 11 speed  crankset with 110 bolt pattern and put on the chainrings from the 10 speed  crankset and run it efficiently with my existing 10 speed?

I m trying to find a solution because I can't find replacement  crank arms for the 10 speed and I really want to stay with compact gearing.
If the hole-pattern matches, there is nothing technical why you shouldn't run those chain rings on your crank. The difference between 10s- and 11s-components is the outer width of the chain. It is a bit narrower to squeeze between the closer spaced sprockets on an 11s-cassette. Chains for 11-speed systems are around 5.4mm wide on the outside, vs. around 5.9mm wide for 10-speed ones. The inner width is the same (3/32 inches). 

So your chain rings are effectively fully down- and upwards compatible with your crank, and your other 10s- and 11s-components.