The wobbles
 

I thought the handling was bad but not this bad. Today was the first day that I was able to give the bike (naked K3) a good bagging, and found to my horror that the front end is very sloppy waving all over the place in a fast corner when under power, can anything be done to improve matters or will I have to live with it.

:(

your k3 should handle well, why did you think it was bad?

have you check'd your tyre pressure, and the state of your front tyre?

the bars were shaking all over when the power is applied coming out of the corners.

As Mr. ZZR said, check your tyre pressures and also check your front forks for leaks.

Hum, how old a bike? Have you messed with the suspension at all? SVs don't have much advjustment but getting the sga right can definately help when you're having issues under power.

If it's specifically hard power out of corners that's giving you fits, a rear shock swap could be money well spent. Doesn't have to be expensive either. It may sound illogical, but problems with the front end on the power usually originate from the rear- the squatting under power unweights the front, and combine that with any sort of undulations in the road and the front can get rapidly weighted and unweighted.

Not to say that changing the front setup couldn't help as well, a better front will compensate better for this.

Out of curiousity, how heavy are you?

Also, nakeds are going to be naturally more prone to it than faired models, because of the different weight distribution. You could try adjusting oyur riding position to get more weight over the front, or you could maybe fit flatter, lower bars.

the bike is under three years old and has only done 5600 miles,
I weigh in at 11stn, so i'm not a heavyweight. the tyre pressures are 33 front and 36 rear.

tyre pressures are right, are we talking a new pointy model?

Hmm. I'd been expecting to hear enough miles to have knackered the shock, but obviously not.

yes she is a pointy