No bracket included for wall-mounted bathroom sink

There are three things you need to consider:

1. Support;
2. Support; and
3. Support!

You NEED to find solid framing, probably uprights studs. You need serious screws/lag bolts into those studs. The sink is sure to come with mounting instructions as to exactly how to attach, but framing is a key. Masonry hanging may be possible, but you will need very deep, serious anchors.

Many wall mount sinks can also get some extra support in the form of slender metal legs that help lift up front lip. A pedestal sink is also very compact and adds a center support. Finally there are corner sinks that rely on support from two walls.

Obviously there are a few other things, once you have solved that. Where do the supply lines come from? Where does the drain enter the wall/floor? You might avoid the skirt (if you want) if you can position the lines to make them appear symetrical, attractive, etc? What type of fittings do you think are acceptable to see (solid chrome or brass? braided flex? etc.). If you are certain they will be hidden, less of an issue.

Oh, by the way, if you don't have good SUPPORT, the pipes will eventually leak.

The two top holes in the corners are there because the sink is hollow. They are from the making of the sink. You will not use those holes. Every wall mounted sink that I have installed uses a bracket that is mounted on the wall first into at least one stud, then the sink drops down onto the bracket. The two lower holes then would probably line up to two holes on the bracket so the sink cannot be accidentally moved or bumped off the bracket.

If you do not have the bracket, you may have to fabricate one (I would use wood). It should not get wet back there if you caulk along the top of the sink after installation, so the wood should not fall apart over time.