Two Andre Moritz free-kicks helped Palace ease to a 3-1 victory, leaving the visitors four places above the drop zone after a third successive league loss.
"We have to believe that we can turn it round but we are in a crisis, no doubt about it," Solbakken said.
"We have lots of injuries but there are no excuses and we will see what we can do to improve. But the players who are here are the ones who must take responsibility. We're in deep trouble at the moment.
"It's my duty to find out why and I won't blame anyone. We have to dig very deep and don't give any excuses - we are a bad Championship team."