Mani Duraisamy, History Geek
I did a quick Google search after reading this question and it looks like Himalayas does have a Chinese translation, called- xǐ mǎ lā yǎ shān mài,
However, if you are asking for a name which has its roots in core Chinese, then I need more time to search.
However, there is a possible explanation as to why Himalayas (the Indian name- called the ‘Abode of Snow’) is more popular and widely used across the world today rather than its Chinese equivalent (if it exists).
Here is a map of the ancient Indus and Ganges river basins:
在看到这个问题后，我在谷歌上搜索了一下，貌似喜马拉雅山脉确实是有一个中文译名的，叫—xǐ mǎ lā yǎ shān mài。如果你问的是中文起源的名字，那么我需要更多的时间来仔细研究一下。
Abhijit Raghunathan, A connoisseur of Indian sport
Well, for those who have done an extensive reading of the Himalayas, they will know where exactly the mountains lie. Of course, you have a small chunk of the ranges and even the foothills in both India and China, but the ranges are predominantly present in Tibet and Nepal.
Ankhi Mun, Hometown in the (pre-)historical city of Varanasi
The ancient Chinese civilization was quite far away from the Himalayan ranges. They named nearby ranges only, e.g. Kunlun Mountains - Wikipedia, Qin Mountains - Wikipedia etc.
Mani Than, former Self Employed
The factual reason is India is having portion of Himalayas in its territory. So they gave a name to the mountain range.
Greater part of Himalayas lie in Tibet. Which had a mild chinese influence.
K Sree Harsha, studied Mechanical Engineering
Well even China got the name from sanskrit of Indian origin from the word चीन ( chin ) !
Culturally speaking India has more connection towards himalaya (spiritually and environmentally ).
就连中国的名字也是来源于印度的梵语词चीन ( chin ) !
Gwydion Madawc Williams, Read a lot about this
The Himalayas tower over North India. They are remote from the population centres of China. China’s link with Tibet only began in Tang times
Srikant Sekhar, lives in India
Ancient China lived almost entirely close to the eastern coast, which is rather far from the Himalayan ranges. They also lived somewhat more to the north than the eastern edge of the Himalayas. On the other hand, a lot of Indians lived along the rivers (like Ganga) emerging from the Himalayas, which run extremely close to the mountain range.