Short Answer
Add an explicit version to the Microsoft.AspNetCore.App package reference in your .csproj file.
Long Answer
I had a brand new netcoreapp2.1 project. The following was in the .csproj file. Note there was no version associated with the Microsoft.AspNetCore.App package reference.
<ItemGroup>
...
<PackageReference Include="Microsoft.AspNetCore.App" />
...
</ItemGroup>
I added an explicit reference to the Microsoft.Extensions.Logging.Abstractions package to resolve a dependency mismatch (build error). Micorsoft.AspNetCore.App wanted version 2.1.0 of this dependency, but another package wanted version 2.1.1. My .csproj file now looked like this.
<ItemGroup>
...
<PackageReference Include="Microsoft.AspNetCore.App" />
<PackageReference Include="Microsoft.Extensions.Logging.Abstractions" Version="2.1.1" />
...
</ItemGroup>
This reduced the build error to a warning about Micorsoft.AspNetCore.App requiring the 2.1.0 version of the Microsoft.Extensions.Logging.Abstractions package but version 2.1.1, of course, was resolved.
Trying to update Micorsoft.AspNetCore.App to version 2.1.1 to fix the warning was blocked by Package Manager as mentioned by the OP.
I updated my Micorsoft.AspNetCore.App package reference to explicitly use version 2.1.1 like this.
<ItemGroup>
...
<PackageReference Include="Microsoft.AspNetCore.App" Version="2.1.1" />
<PackageReference Include="Microsoft.Extensions.Logging.Abstractions" Version="2.1.1" />
...
</ItemGroup>
This fixed the build warning and unblocked all the versions of Microsoft.AspNetCore.App in Package Manager. I was even able to remove the explicit reference to Microsoft.Extensions.Logging.Abstractions without reintroducing the original error. The final .csproj looked like this with no issues.
<ItemGroup>
...
<PackageReference Include="Microsoft.AspNetCore.App" Version="2.1.1" />
...
</ItemGroup>