有区别。
be concerned with 是“关心、挂念”的意思；
be concerned about sth 是“关心某事”的意思
另外be concerned about 还有担忧某事的意思，而be concerned with没有
1、be concerned with —— 关心;参与，干预;相干
例如：Scholars and researchers should not be concerned with whether their work makes a contribution to the larger society.
学者们和研究者们不用考虑他们的工作是否会对社会有所贡献。
Is the health of the community we should be concerned with.
社会的健康才是我们应该关心的。
2、be concerned about —— 关心，挂念…… /担忧……
例如：This aggression is the real issue the world should be concerned about. We want to keep that in focus.
这次侵略才是世界应该关注的真正问题。我们想继续保持关注。
It is smart and responsible to be concerned about and prepared for hurricanes.
这是聪明和负责任地关心和飓风的准备。
拓展资料：
If you are at all familiar with RF devices you may be concerned about specialized layout requirements.
如果你是在所有的射频设备熟悉你可能对有关的专门布局要求。
But foreign policy must forever be concerned with reconciling ends and means.
但外交政策必须永远注重目的与手段之间的调和与平衡。
参考链接：百度翻译