Hi, huge thanks for the finding, I did it myself, my LN-S4041D is working as good as new.
This is how it looks from the back after cover has been removed (19 screws!
Big light PCB is a power supply board, our caps are on its upper right corner.
Here is a close up of those four capacitors, as you can see they are inflated, on top of two middle ones there is a dark spot of burnt electrolyte.
This is an image from the side, all four of them bumped
I unsoldered them, here you can see their marks CM812, CM817, CM811 and CS806.
All four are rated 1000mF 10V, I didn't touch others that look good, they are rated for 25V.
I'm in Canada, we have other store for electronic components: SAYAL, I found there 1000mF 35V for $1.35 CAD each, they are also made by Samsung
By the way, original capacitors are designed for maximum working temperature of 105C, new ones however for 85C, I hope it won't come to that.
35V capacitors are 25-30% bigger, do not cut the legs right away, first solder then cut, solder above PCB to give a little more freedom. Sorry for the background
This is how it looks after rework, as you can see, unlike original ones, they are touching each other.
Here is a view from the angle, a small one on the right CM809 has been pushed by a bigger capacitor a little, so keep in mind to leave some extra length on legs to pull it away from it after soldering.
Good luck and don't be afraid, it just needs a little patience (for better experience) a little fear (for caution) and a strong wish to save money (I hope it’s worth it)