Do you claim property compensation for hanging flower boxes in public areas and being injured?

It's your own carelessness not to compensate.

Whether the owner is responsible for the railings in public areas depends on what the situation is. If the railings in public areas already exist, it is for the safety facilities of all owners, it is because you accidentally fell, and the residential property is not responsible. If the railings in public areas are unnecessary, or because the management of railings is not in place, the property owner must be responsible.