For the next step:
Look at the bottom four rows. Three regions are entirely contained in those rows, so they contribute 6 stars. Now look at the 11-cell region on the right side. It only has three cells outside of the bottom 4 rows, and they are configured so that they can contain at most one star. This means that for the 6-cell region at left, only one of its cells in the bottom 4 rows contains a star, so R6C2 must contain a star as well.
You also have some logic to exclude stars:
from R2C6 and R3C8 with the snaky 8-cell region at top. Each of the remaining L-triominos can only have one star, so each has one.
One other thing:
Look in the right-most 5 columns. Four regions are entirely contained, so the remaining 2 stars must be in a 6-cell range: R3C6-R6C6 plus R5C7 and R6C7. The 2x2 square in the lower region then contains at most one star, which breaks things open.