Hi @Luca Balbiani ,
For developers, the difference between the two is almost small. More differences are reflected in the construction of these two platforms by service providers.
About PaaS, you can read this.
About Serverless computing, you can read this.
If you use a simple analogy to describe the two, it is like the difference between tap water and drinking fountains. For developers, both can open the switch to drink water. Serverless computing is like tap water. It flows out as much as you need. And PaaS is like a drinking fountain, it can also provide a lot of water. Once there is no water in the bucket, you need to purchase a bucket delivery service from the provider. The provider will deliver the water purification package to you.
Their charges are similar. Serverless computing charges according to how much you use. PaaS charges based on buckets, not usage.
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Best regards,
Bruce Zhang