I'm trying to build as thin shelves as possible in a corner of a room, in a L shape. Approx 1.3m x 1.2m. One wall is an alcove so can easily put battens in there and build a frame/tension box/etc with a cover and bottom.

Struggling to see if the wall without the alcove will have enough support at the front of the unsupported side.

And ideally I don't want to build super thick shelves but I'm open to options...

I've had one suggestion which is to put 12mm steel rods and chemical anchors into the shelves but various videos suggest the shelf would move end up wobbling a bit as a result (up and down)

I guess I could do battens and rods. Any other suggestions?

I have about 5-6 shelves to do in the same corner.

Thanks.