Since I, too, wasted time looking on Novelist and LibraryThing without luck myself, I asked in a post on the SciFi group on LibraryThing and here's the only response I got:

(from user pjfarm): "I read a similar book (probably late 70's) though I don't recall the name or author. The plot as I recall was that they were veterans of the war with the aliens and were being sent back home for various reasons. The teenage girl had telekinesis and was a spoiled brat, the military needed her, just not that badly. There was a slightly older guy, maybe early twenties, with teleportation who didn't want to be there and made himself annoying enough to get sent home, and there was an older guy in his forties with telepathy who burned out. He had lost his wife on a mission, she was tortured to death and he felt all of it in his mind.

They were shipwrecked on an unknown barely industrial planet, the only survivors. That was the first two chapters, the rest of the book finds them working in the circus until the aliens find the planet and these three decide to organize a resistance.

It sort of reminds me of a Lester del Rey type of book but I don't know if he was the author. Sorry I can't help you further."

I would have thought you might have mentioned a circus if that was it....but Lester del Rey might be an author to take a look at. Seems to be similar to Norton, mentioned by youngwhippersnapper.

Offutt, Andrew J. The Galactic Rejects. New York : Dell Publishing, 1973. "The sad middle-aged man, the temperamental young girl, and the self-centered young man have special mental powers that had been highly useful in the war against the Zauli. Now they were being sent back to Earth as worn-out casualties of that war. When their transport is destroyed in space they are stranded on the planet Bor, whose population and technology resemble that of nineteenth century Earth. Rinegar's telepathic receiving, Corisande's telekinesis, and Berneson's teleporting are special talents even on Earth, but on Bor they would be regarded as witchcraft. The perfect solution is to join a carnival. The strange trio are soon moving from city to city, amazing audiences with their carefully controlled powers. Then the Azuli spaceship lands and brings the interstellar war to the peaceful planet. Comfortable in their new lives, the renowned performers have to decide whether or not to become involved again in the deadly struggle from which they had been rejected as no longer useful. But what can three humans do against an army of alien invaders?
The last time I read this was in 1979 and I thought it was good so kept it. Amazing I remembered it.

After an absolute ton of research, the closest thing I can find is Galactic Rejects by Andrew Offutt.

I believe you've crossed Marvel's New Univers http://en.wikipedia.org/wiki/Psi-Force with John Christopher's Tripod Books http://en.wikipedia.org/wiki/The_Tripods

I had a paperback trilogy in which three kids discovered their psionic powers (and each other's existence) at a shopping mall. I'm pretty sure the word or prefix PSI was in the titles. Each book was supposedly written by one of the teens, and the teens were actually listed as the authors on the book covers. Unfortunately, I can't come up with titles.

Ok, I've become possessed with finding this book. This one sounds too fantasy-ish, but try The Ring of Fire by Shirley Rousseau Murphy, read an Amazon customer's review

Space Winners by Gordon Dickson, has three teens on a planet, and aliens, but not sure if they have psychic powers, read customer review on Amazon- I'd add the link but I'm limited to one.

That's all for now... have you thought of any other details?

Hi, No title but hope this helps narrow it down. I can add on that I recall the teleporter dying so the telepath and telekinetic girl escape at the end of the book. Yellow book hard cover.

http://www.librarything.com/topic/77210

I read a similar book (probably late 70's) though I don't recall the name or author. The plot as I recall was that they were veterans of the war with the aliens and were being sent back home for various reasons. The teenage girl had telekinesis and was a spoiled brat, the military needed her, just not that badly. There was a slightly older guy, maybe early twenties, with teleportation who didn't want to be there and made himself annoying enough to get sent home, and there was an older guy in his forties with telepathy who burned out. He had lost his wife on a mission, she was tortured to death and he felt all of it in his mind.

They were shipwrecked on an unknown barely industrial planet, the only survivors. That was the first two chapters, the rest of the book finds them working in the circus until the aliens find the planet and these three decide to organize a resistance.

It sort of reminds me of a Lester del Rey type of book but I don't know if he was the author. Sorry I can't help you further.

I thought I'd give this another go, so here are some more for you to check out:

The Children of the Lens, E.E. Smith (or another in his series)

something by Poul Anderson?

something by Wilmar Shiras (Children of the Atom?)?

I still think you need to take a look at Space Winners by Gordon Dickson (1965)

maybe something by Andrew J Offutt?

You can also post your query here:

http://www.sfsite.com/forum/viewforum.php?f=16

I know this is a longshot, but something about your question reminded me of Madeleine Lengle's series, beginning with A Wrinkle in Time (which I've never actually read, but had to help one of my kids with a project on it a few years ago).

Sounds sort of like the "My Teacher is an Alien" series by Bruce Coville, although that wasn't so much an invasion, and it was more than one book.

I am going to say Escape to Witch Mountain by Alexander Key the book is totally different than the movies! Here is a summary: Escape to Witch Mountain Wikipedia entry

It's not a perfect fit, but it reminds me of Sleator's Interstellar Pig.

Was it The Tomorrow People? http://www.imdb.com/title/tt0069647/

There was a '70s TV show, & spin-off books. It sounds like the plot would fit pretty well. They definitely had the books at my friend's middle school in the early eighties. But it was a series... but they did have the three "T's" according to: http://en.wikipedia.org/wiki/The_Tomorrow_People

The sad part is I actually remember reading the book but for the life of me I cannot remember the title.

The series is called Animorphs. They briefly also had a TV show by the same name. Recently, Rennaisance Learning has been publishing AR quizzes for some of them.

Was it the Planet Builders series by Robyn Tallis?

It sounds rather like Power of Three by Diana Wynne Jones, although it did not have "aliens" -- though the psychic powers and three kids, plus fighting off of an invasion, sound right up the alley. The races could easily be remembered as alien species. Plus, a publication date of 1977 puts it perfectly in place for this timeline.

http://en.wikipedia.org/wiki/Power_of_Three

The publication date is 1991, but how about the Rowan series by Anne McAffrey?

I can't believe how many "psychic powers defeat aliens" books are out there!

Could it have been Flight in Yiktor by Andre Norton?

Could it have been a novella or long short story in either the Asimov or Analog Sci-Fi magazines? I have no idea how to search the old stories, but those mags were popular in the 70s.