have some trouble in 和have some trouble with的区别

前者后跟动名词，即动词ing形式；后者后跟名词或代词

have trouble with 表示“有……毛病”、“同……闹纠纷”。如：

He is having trouble with teeth. 他正牙痛。

The man often has trouble with his wife. 这个人经常同他的妻子闹矛盾。

have trouble (in) doing sth 表示“做某事有困难”，其中的介词 in 在口语中通常可省略，但通常不能改用不定式。如：

我们没花吹灰之力就找到了他的办公室。

正：We had no trouble (in) finding his office.

误：We had no trouble to find his office.

have some trouble in doing sth.
have some trouble with sth.
基本属于用法上的区别。in可以加动词ing形式，with只能搭配名词。
意思上是一样的。
如：
he has some trouble in studying English 意思与he has some trouble with English. 是一样的。

have some problems(difficulty, trouble) in doing sth 做某事有问题（困难，麻烦）;

have some problems(difficulty, trouble) with sth 某方面有问题（困难，麻烦）;
have no/some trouble (in) doing sth. 做某事没有/有些困难;