The Valley of the Living Rock is a major setting in Disney's 2013 animated feature filmFrozen.It is inhabited by trolls, including Pabbie, Bulda, Cliff, and many others.
Its name likely references the trolls' ability to transform into rocks at will.
The Valley is known to King Agnarr and Queen Iduna. Both of them have heard of mystical trolls and their powers, so they travel to the Valley in order to heal their younger daughter Anna.
Kristoff and Sven follow the royal family to the Valley, where they come upon Bulda, who decides to adopt them. From that point on, Kristoff and Sven grow up in the Valley with the trolls.
The "Fixer Upper" sequence takes place in the Valley when the trolls attempt to wed Kristoff and Anna.
During the movie, it is noticeable that there is no snow piled up on the ground when Anna and Kristoff pass through the area where the trolls live, despite the rest of Arendelle being covered all over by at least a foot or two of snow due to Elsa's accidental "eternal" winter. It's possible that this a geothermal area that has natural hot springs, hence the temperature of the ground does not get cold enough for snow to stick to the ground or if it does, the snow melts away very quickly.