Ellis had 26 points in a dominant performance, Selden led a big second-half run and finished with 19, and the Jayhawks overcame a slow start to beat the Longhorns 76-67.
"We needed to eliminate the negative momentum because we were in a rut. We were in a funk," Self said. "I thought our experience gave us our best chance to do that."
Along with Ellis and Selden, Self stuck with his three other starters for the majority of the game. He played just three guys off the bench for a total of 29 minutes.
"This isn't a popularity contest," Self said. "This isn't having cookies and milk after the game."
The Longhorns (12-7, 4-3) looked as if they would keep Kansas' malaise going when they built an early lead. But they were unable to get any stops in the second half, when the Jayhawks used a 24-6 run covering more than nine minutes to seize control in front of another raucous crowd at Allen Fieldhouse.
"You know a run is coming and the crowd is going to be behind this team," Texas coach Shaka Smart said. "Kansas made some great plays. You have to give them credit."
It was the Jayhawks' 34th consecutive victory at the Phog, the fourth-best winning streak in school history. It was also their 14th victory in 15 times the Longhorns have visited Lawrence.
In other words, little changed in Smart's first trip.
Early on, it looked as if the Longhorns had brought the momentum from their win at West Virginia on the road with them. They roared to a 12-2 lead in the first couple of minutes with Lammert doing most of the damage from the arc, though Kansas helped the Longhorns out with some woeful shooting. The Jayhawks were 2-of-12 from the field with four turnovers at the 12-minute mark.
Texas never trailed in the first half and was tied 25-25 in the waning minutes before Davis and Taylor willed the Longhorns to a 35-30 halftime lead.
Graham's 3-pointer to start the second half put a charge in Kansas, but it was Ellis who finally got the Jayhawks over the hump. With a contortionist's flexibility in the paint, Ellis made a series of tough buckets at the rim, finally giving Kansas a lead at 44-42 with 12:29 remaining.
Ellis added another basket a few minutes later, and Selden curled in a 3-pointer on its heels for a 57-46 lead, forcing Smart into a timeout that did little to quiet the crowd.
The Longhorns made a run in the closing minutes, but the Jayhawks never let it get close again.
"We didn't get off to that kind of fast start, but we knew we were going to come back the whole game," Graham said. "We just had to settle down and get comfortable, I guess."
Self improved to 200-9 in his career at Allen Fieldhouse. Asked what he would have said upon his hiring if someone told Self he would have that record, he replied: "I know what the fans would have said: 'Why did you lose those nine games?'"
"He wanted to come back and play, but our athletic trainer decided he couldn't go," Smart said.
Texas: Prince Ibeh had seven points, seven rebounds and seven blocks. ... The Longhorns had eight turnovers, their fifth straight game with eight or fewer. ... Their only win at Allen Fieldhouse came on Jan. 22, 2011, when they ended the Jayhawks' 69-game winning streak there.
Kansas: Landen Lucas had 10 rebounds. ... Roy Williams (201-17) and Ted Owens (206-47) are the only other coaches with at least 200 wins at the Phog.
Texas tries to avenge its loss to TCU on Tuesday night.
Kansas visits No. 19 Iowa State on Monday night.
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