Where do you plan to stay at night? If you stay within huts take what PeterAit suggested. If you stay in your own tent and bring your own food you will end up with the lightest equipment you can carry. 16-85 at f/8 would be fine for me, together with two ND 0.9 grad filters (one hard, one soft). If the filter holder is too heavy bite the rocks and hand-hold them.
You know your camera, you know how much shots are possible with one battery with low display usage and no live view. I would not rely on solar power. I can do 500+ images with one of my batteries, that lasts for one week when shooting landscapes and half a day when taking pictures of animals.
I plan to walk a little bit in scandinavia this year as well, multiple trips, 5 days the longest (walking time only, we will make larger breaks at dusk or dawn for photos). I take a small carbon tripod Manfrotto 443 and RRS BH-40 ballhead weighting 2 kg, a Canon 5DMkII and a 24-105 4.0 (focal length comparable to your 16-85). Besides I carry a light but sturdy tent for 2 persons, food for me and so on. This is about 20 kg net load, plus the weight of by Bergans. I am used to carry 15 kg every weekend since my usual photo equipment is that heavy. You should make a three day training hike in advance, 20 km every day, to see if you can carry all this.
Will there be other photographers? If not you may miss a lot of good places as you will be there when the light is harsh. If there are no other photographers the crowd usually wants to rest a bit and then move on the hut before the night comes.
When will you be there? In the Kebnekaise/Narvik region in mid-August, for example, sunrise will be at 4am and sunset at 10pm (roughly). That means you could walk from 9am to 6pm and spend the rest of the time waiting for the light, sleeping and so on. But for me 4 hours of sleep every night are not enough... On the other hand sleeping during the day may not be an option as it will become warm.
EDIT: Just seen this, I just decided to go to Norway via bike and car:
http://www.spiegel.de/fotostrecke/fotostrecke-56452-9.html - you should do the same or take alternate transportation, remember Sven Hörnell landed on the Keb with a plane. Just kidding