Ouch! and Plant ID…?

Ouch! and Plant ID…?

Anyone know what this is on my plants? It's only on two of them, and its not bugs eating them... It's brown and the leaf is still there, I can just see through it... I am in zone 10 if that helps. Plant ID I know it's ground cover of some type. the woman who gave it to me called it something, I dont remember now but it began with an "L" I believe... LoL... Ground cover in an urn... This is what happens when you garden on a patio in pots! And here is just a random picture of my plants huddled together to stay out of the rain expected later today.
my abode

my abode

Still growing.

Still growing.

After the rain

After the rain

apartment pics-rearanging the liv. rm

apartment pics-rearanging the liv. rm

Fixed!

Fixed!

my room

my room