.NET Core or .NET Framework, What is right for your application?

.NET Framework and .NET Core are two choices for building .NET server-side applications. Both share a lot of the same .NET platform components and you can share code across the two. However, there are fundamental differences between the two and based on what you want to accomplish, your requirement your choice will depend. 

You should use .NET Core for your server application when:

• You have cross-platform needs.
• You are targeting microservices.
• You are using Docker containers.
• You need high performance and scalable systems.
• You need side by side of .NET versions by application.

You should use .NET Framework for your server application when:

• Your application currently uses .NET Framework (recommendation is to extend instead of migrating)
• You need to use third-party .NET libraries or NuGet packages not available for .NET Core.
• You need to use .NET technologies that are not available for .NET Core.
• You need to use a platform that doesn’t support .NET Core.

Ref: https://docs.microsoft.com/en-us/dotnet/standard/choosing-core-framework-server