There was a major encounter battle at Brunswick involving three corps per side.
The French were delayed moving through the city
The Prussians held their ground, but suffered heavier casualties
An attack by the Old Guard was repulsed
But nightfall the French held their ground, including Brunswick
At nightfall the Prussians withdrew towards Wolfsburg
The occupation of Brunswick by the French is significant
The city is the primary campaign objective for both armies
To claim victory in the campaign the French also have to defeat the Prussian Army
Although Napoleon has won this battle, he has not defeated Blucher
Both armies suffered light casualties
Both armies will soon recover and be capable of fighting again.
However the onus is now on the Prussians to retake Brunswick