前者后跟手祥桐动名词，即宴碰动词ing形式毕坦；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，但拿猜通常不能改用不定式。如迅敏逗：亩卖
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枝哗别。in可以加核键动词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 意思与猛氏行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 某方面有问乱晌拦题（困难，麻烦）;
have no/some trouble (in) doing sth. 做某事没谨悉有/有些哗胡困难;