Last updated on .From the section Premier League

Olivier Giroud's opener was his ninth goal in 13 matches

Arsenal bounce back from Champions League defeat

Giroud scores fourth goal in four matches

Wenger's side record third straight league win

Everton six points above the bottom three

Olivier Giroud rewarded manager Arsene Wenger's support with a goal as Arsenal beat Everton 2-0 to climb back to third place in the Premier League.

Wenger kept the striker in his starting line-up even though he missed several chances during Wednesday's 3-1 Champions League defeat by Monaco.

Giroud volleyed in Mesut Ozil's corner six minutes before half-time.

Arsene Wenger happy with Arsenal response

Everton's Romelu Lukaku was denied by keeper David Ospina before Tomas Rosicky's late goal sealed the win.

The visitors were the better side for most of the second half but struggled to create clear chances, aside from Lukaku's near-post shot from Ross Barkley's cross, which Ospina tipped over brilliantly.

Roberto Martinez's side once again failed to transfer impressive European results to the Premier League, in which they have taken 11 points from their last 15 matches and could yet be dragged into a relegation battle.

Yet they could justifiably claim to have deserved something from the match against an Arsenal side who wobbled to victory.

Giroud's selection proved pivotal to that win, as did Wenger's decision to give centre-back Gabriel Paulista a first Premier League start in place of the out-of-form Per Mertesacker.

Giroud's hits and misses Olivier Giroud has had 12 efforts at goal in Arsenal's last two matches - six against Monaco and six against Everton. The goal that he scored against Everton was his only effort on target.

Gabriel was shaky at first, misjudging a long clearance and allowing Lukaku to get in behind him, with Ospina racing from his line to pat the ball clear.

But the Brazilian defender won applause from the home fans for a perfectly timed challenge as Everton's Belgium striker threatened to tear through and score eight minutes before half-time.

Everton need momentum - Martinez

That lifted an Arsenal side who had been ponderous for the opening 35 minutes, and they were soon ahead.

Giroud, who had earlier planted a header wide from eight yards out, found a few inches of space inside a crowded penalty area to turn a lovely low volley into the corner of the net from Ozil's corner.

Arsenal had to survive a significant spell of Everton pressure after half-time, but aside from Lukaku's effort, the only chance came when substitute Aaron Lennon steered Seamus Coleman's low cross straight at Ospina.

Wenger's side did finish strongly, and only a magnificent saving tackle by Phil Jagielka stopped Ozil scoring from Alex Oxlade-Chamberlain's through-pass.

Rosicky eased the jitters of the home fans with a shot that was deflected past keeper Tim Howard by the unlucky Jagielka.

Olivier Giroud was defended in the match programme by Arsenal manager Arsene Wenger

Giroud has scored nine Premier League goals for Arsenal this season

Roberto Martinez's Everton side have won three of their last 17 league matches

Gabriel Paulista, signed from Villarreal in January, was making his first Premier League start