Make sure that you are using the full search at https://github.com/search.
Then simply add extra author: <name> fields to your query. The searching engine will OR fields. For example:
is:pr author:username1 author:username2
(Note that this only works on https://github.com/search. The search syntax on other pages, like https://github.com/pulls, is severely limited and does not support searching by multiple authors. If you try the same search on https://github.com/pulls, GitHub will simply ignore all but one author that you list.)
To limit it to repositories by a specific owner, add the user: <owner> field to the query.