首先我们来看下with one's help和with the help of sb的大致意思：
with one's help：词性为短语，with（与）+ one's（某人的）+ help（帮助）
with the help of sb：词性为短语，with（与）+ the（定冠词）+ help（帮助）+ of（的）+ sb（某人）
通过下面的表格我们了解下with one's help和with the help of sb的含义、发音和用法
接下来让我们看下with one's help和with the help of sb的用法区别：
1.结构：with one's help 结构比较简单，只有一个名词所有格，而with the help of sb 结构较复杂，有定冠词和介词短语
例子：
-I completed the project with his help.
(我完成了这个项目，得益于他的帮助。)
-We successfully solved the problem with the help of an expert.
(我们成功地解决了这个问题，借助了专家的帮助。)
2.语法功能：with one's help 可以作为介词短语的宾语补足语，而with the help of sb 则不能
例子：
-He made progress with her help.
(他通过她的帮助取得了进步。)
-We got through the difficult period with your help.
(我们靠着你的帮助成功度过了困难时期。)
3.语义强调：with one's help 侧重于强调某人提供的具体帮助，而with the help of sb 侧重于强调某人帮助所实现的结果
例子：
-I completed this challenging task with her help.
(她的帮助使我完成了这个艰巨的任务。)
-With the help of experts, we completed this important research.
(借助专家的帮助，我们完成了这个重要的研究。)
4.语气：with one's help 更加口语化，常用于日常对话和非正式场合；而with the help of sb 更加正式，常用于书面语和正式场合
例子：
-Thanks for your help. I can't do without you.
(谢谢你的帮助，我不能没有你。)
-In construction projects, we need the help of experts.
(在建筑工程中，我们需要借助专家的帮助。)