Putting research papers online
It depends on the specific license the papers are under, but if you are talking about uploading the full text version of the article to your own website then most likely no it is not permissible to do this.

If they were your own papers, it is more likely that a journal allows you to do this, but still some will not and it is important to check the policies of the individual journals.

You could certainly put a bibliography on your own website though, and link to the journal articles from there, hosted at their original journals or preprints (DOI links would be a good way to do this).

As a practical matter, however, if you host these documents in some non-public place (like a private document or privately hosted password-protected site rather than a public web site), you are extremely unlikely to catch any grief. If they are public, however, you expose yourself.