When wall panels are installed the weight of the panel rests on the floor, bath or shower tray so the panels are effectively just "leaning against the wall" Consequently the bond between the panel and the wall does not have to be that strong to be effective. When panels are fitted to a bathroom ceiling however the bond is much more critical.
Most filters that we have spoken to use a combination of adhesive and a staple gun. Solvent-free adhesive tends to be slightly less effective that those with solvent (if using adhesive with solvent be sure that there is plenty of ventilation when you are fitting the panels). The staples help hold the panel in place whilst the adhesive sets.
The panels that we sell are very easy to cut so we always recommend taking your time cutting them to ensure a good fit. The joint between the ceiling panels and the wall can be sealed with silicone. If you are not confident of achieving a neat cut finish you can use trims to help cover the edges of the panels. The problem with most of the trims sold by the manufacturers is that they are designed to be used with wall panels rather that ceiling panels. They can, however, be adapted for use with ceilings by trimming away the back section that would usually clip over the top of the wall panels. The trims can then be mitred and stuck up once the panels are in place. Any trim could be use for this purpose, not just the trims that we sell. Tile edge trim, quadrant or scotia moulding could be fitted once the ceiling panels are in installed.