The "search by name" and "search by tag" boxes in the filtering section of the palette list are difficult to use in mobile browsers. Please consider adding "search" buttons there.
The way the boxes work now, it seems impossible to type anything and make it search for that string. Nothing happens when I press Enter on the mobile keyboard.
In the "search by name" box, it seems to only work to type something and then touch on one of the suggestions that pop up.
Tested in Chrome and Firefox on Android.