A person on songfacts.com put together a collection of quotes from the band about the song and gave references for the quotes. Here is a copy of what the person wrote on that site.
TW: Another thing that we certainly need to do in music is discover new ways to write love songs. "With Or Without You" seems like a new kind of love song to me. Bono: Thank you. That's kinda the way I feel about it. I've said it before, but to me there's nothing more radical, there's nothing more revolutionary than two people loving each other. One, 'cause it's so uncommon these days, and two, 'cause it's so difficult to do. (from "Timothy White's Rock Stars", radio interview, June 01, 1987)
Bono: On the "With or Without You" EP there are three songs that all deal with obsession [Walk To The Water, Luminous Times], with that kind of sexuality. I'd like to have done a whole side, a whole record, blue. That EP is something close. (from "Luminous Times" by John Hutchinson, Musician, October 01, 1987) [...]
Bono revealed that "it was interesting to me because I see it in myself and in other people around me. Love is a two-edged sword and I didn't want to write about romance because that doesn't interest me as much as the other side." [...] (from "U2 - A Conspiracy of Hope" by Dave Bowler & Bryan Dray, 1993)
Bono: In "With Or Without You" when it says "and you give yourself away and you give yourself away" -- everybody else in the group knows what that means. It's about how I feel in U2 at times -- exposed. I know the group think I'm exposed and the group feel that I give myself away. And funny enough, Lou Reed said to me, 'what you've got is a real gift: don't give it away because people might not place upon it the right value.' And I think that if l do any damage to the group, it's that I'm too open. For instance, in an interview, I don't hold the cards there and play the right one because I either have to do it or not do it. That's why I'm not going to do many interviews this year. Because there's a cost to my personal life and a cost to the group as well. (from "The World About Us" by Niall Stokes, Hot Press, March 26, 1988)
Should this be moved to the lyrics section?