Christensen tied it with 9:50 to play, while New York was on the power play, and Frolov gave the Rangers a 2-1 lead by burying his own rebound at 10:25.
Frolov assisted on Boyle's goal to give him three points in two games and his first multipoint game since having two goals and two assists against Edmonton on Nov. 14.
Henrik Lundqvist made 27 saves for the Rangers, who have won three of four and nine of 13. New York won in Pittsburgh in regulation in the regular season for the first time since Jan. 19, 2006 — a span of 16 games.
The Penguins were 9-0-2 against the Rangers in the past 11 overall, but lost in overtime in the team's previous meeting this season in Pittsburgh. That was the Penguins' previous loss before they fell in Philadelphia on Tuesday night.
The Rangers welcomed captain Chris Drury back to the lineup Wednesday after he missed 31 of the team's first 32 games because of a broken finger. Drury was a plus-1 and played on both specialty teams.
In the previous meeting between the teams, Callahan fell while tangled up with Crosby on Nov. 29 at Madison Square Garden. Several Rangers — most notably Brandon Dubinsky — accused Crosby of a slew-foot on the play, which resulted only in an interference penalty against Callahan.
The teams traded verbal barbs through the media over Crosby's perceived dirty play, but other than a routine pushing and shoving match in front of the net after a scrum during the first period, there were acts of retribution aimed at Crosby.
Crosby extended this season's longest scoring streak when he fed Malkin during a give-and-go with 13 seconds left in the first.
Making his first start since Nov. 27, Pittsburgh backup goalie Brent Johnson was in line for his second shutout of the season until he was beaten by a wrist shot by Christensen, a former Penguins player.
After Frolov gave the Rangers the lead, Crosby thought he scored the tying goal with 6:19 to play when he got a piece of Malkin's shot and put it past Lundqvist. The goal was immediately waved off when officials ruled that Pascal Dupuis made incidental contact with Lundqvist. The Penguins protested that Dupuis was pushed into Lundqvist by Rangers defenseman Michal Rozsival.
Anisimov scored for the fourth time in nine career games against the Penguins on a spectacular effort with 5:05 left. He carried the puck from just outside his blue line down the middle, weaved in and out of Penguins players, and beat Johnson with a wrist shot.
NOTES: Pittsburgh is 13-3 when scoring first and 5-1 in the second half of games on consecutive days. ... The Penguins had won seven straight at home since losing in overtime to the Rangers on Nov. 15 on Callahan's goal. ... New York are an NHL-best 12-5 on the road. ... The Rangers killed all three Penguins power plays and 56 of the last 63 overall.
Source: AP News