Gritters have been out in force on main roads in Hampshire as snow and ice continues to affect driving conditions.
"Priority one" routes - which carry 85% of the county's traffic - were being treated on Monday evening.
Up to 20cm (8in) of snow fell in Hampshire and the Isle of Wight over the weekend and more is expected in many areas.
Southampton Airport is expected to open as normal on Tuesday. Snow temporarily closed the runway earlier.
A spokesman said: "Passengers should expect some disruption due to the continued adverse weather and are asked to contact their airlines for the latest information."
The Wightlink ferry service cancelled a number of sailings on its Yarmouth to Lymington route because the weather resulted in a crew shortage.
Southampton University Hospitals Trust said it was cancelling all non-emergency surgery for the next two days after being inundated with patients who have fractures as a result of falling in the snow and ice.
Outpatients are also being asked not to attend Southampton General Hospital unless their appointment is essential.
About 120 farmers with snow ploughs fitted to tractors are on standby to help clear rural roads.
South West Trains is running revised services and passengers are being told to check the firm's website for the latest information.
Drivers have been urged to take extra care.
A county council spokesperson said: "If people do have to drive, they are advised to allow plenty of extra time for their journeys, avoid heavy braking, and be well prepared for winter conditions before setting out, ensuring they have a blanket, warm clothes, warm refreshments, and a fully charged and working mobile phone."
A-roads, major bus routes and roads to emergency services are among the priority routes.
The council said more than 1,000 blue salt bins had been placed in villages, towns and cities around the county to enable residents to keep pavements and roads safe.