I am presuming that your lano is curling up around the tub due to water contaminating the bond between the lano and the sub flooring. Lano will do this if it has nothing to stick to.
You may have more problems than you think. If this has been going on for a while, you might want to check the integrity of the sub floor for rot and moisture. If there is some, then dry it out thouroughly and determine if you need a new sub flooring and a new lano job in that room.
If the lano is good, just released, and the sub floor is good then:
get a vacume and get all the debris out from under the lano in that area.
get a hair dryer and slightly heat the lano that is curling to make it lay flat.
get some liq nails and apply a generous amount down under the lano, then push the lano down on the stuff for drying. You might want to use a weight of some kind to keep it down since the curling memory of the lano will tend to re occur.
Once it is sealed good, then shoot some 100% silicon caulk on the seam between the tub and the lano. Ideally, you want to make a ramp from the tub to the good lano and over the seal. This will steer the water over the seal and onto the lano itself.
If this does not work, then do this. Get some quarter round molding, cut it and trim it to fit over the seam and tightly against the tub. Fasten the 1/4 round to the lano using small finish nails. Do not puncture the tub, drive nails into sub floor.
Then the 1/4 round will hold the lano down and then make a natural ramp for the water.
caulk the 1/4 round again and paint it with a good high quaility paint. Allow plenty of time to dry before you get water on it again.
This will look good and fix your problems for good.