抱えている問題

problems one has

→ 抱える
phrase Rare #38,955
problems one has Refers to problems or difficulties that someone is currently dealing with. 抱えている literally means “is carrying,” but here it means “has” or “is dealing with.”
JA: 彼は仕事で抱えている問題を上司に相談した。
EN: He consulted his boss about the problems he was having at work.

彼はわざわざ私が抱えている問題について話し合うためにやってきた

He went out of his way to come and discuss the problems I’m dealing with.

私たちが抱えている問題についてはすでにトム話してあります

I've already talked to Tom about the problem we're having.

学生は概して自分たちの抱えている問題理解してくれる教師が好きだ

Students generally like teachers who understand the problems they are dealing with.

彼女は自身の抱えている問題落ち込んでいた

She was depressed about the problems she was dealing with.