Scroll full page or search results only

For my Application the Search Function generates Search Results. Nothing special about it. On the left side (ca 20% of the width) are the filters (name, cit/zip, language, rating etc.pp).

Now the question: is it more usable to have the "outer frame" (everything, except the result div) "fixed" (can be scrolled sperately, if reolution is to low) and let the user scroll through the SERPs-div

^{download bmml source – Wireframes created with Balsamiq Mockups}

OR

Make the Filters fixed with xyz px top (sticky) and scroll everything except the filter-div, so the filters will stay at the same position but the whole page scrolls down (including header, menu, etc).

Now I'm wondering which is the most usable version for a desktop version of this (mobile is easy in this case)