TEL AVIV, Israel >> Israeli Prime Minister Benjamin Netanyahu on Monday pushed back against a new wave of pressure to reach a cease-fire deal in Gaza after hundreds of thousands of Israelis protested and went on strike and U.S. President Joe Biden said he needed to do more after nearly 11 months of fighting.

In his first public address since Sunday’s mass protests showed many Israelis’ furious response to the discovery of six more dead hostages, Netanyahu said he will continue to insist on a demand that has emerged as a major sticking point in talks — continued Israeli control of the Philadelphi corridor, a narrow band along Gaza’s border with Egypt where Israel contends Hamas smuggles weapons into Gaza. Egypt and Hamas deny it.

Netanyahu called the corridor vital to ensuring Hamas cannot rearm via tunnels.

“This is the oxygen of Hamas,” he said.

And he added: “No one is more committed to freeing the hostages than me. ... No one will preach to me on this issue.’

Israelis had poured into the streets late Sunday in grief and anger in what appeared to be the largest protest since the start of the war. The families and much of the public blamed Netanyahu, saying the hostages could have been returned alive in a deal with Hamas. A rare general strike was held across the country on Monday.

Late Monday, several thousand demonstrators gathered outside Netanyahu’s private home in central Jerusalem, chanting, “Deal. Now.” and carrying coffins draped in the Israeli flag. Scuffles broke out when police snatched away the coffins, and several protesters were arrested. Thousands more marched outside Netanyahu’s Likud party in Tel Aviv, according to Israeli media.

But others support Netanyahu’s drive to continue the campaign in Gaza, which was triggered by Hamas’ Oct. 7 attack into Israel and has killed tens of thousands of Palestinians in the territory. Netanyahu says the assault will force militants to give in to Israeli demands, potentially facilitate rescue operations and ultimately annihilate the group.

Key ally the United States is showing impatience. Biden spoke to reporters as he arrived at the White House for a Situation Room meeting with the U.S. mediation team in the negotiations. Asked if Netanyahu was doing enough, Biden responded, “No.”

Hamas has accused Israel of dragging out months of negotiations by issuing new demands, including for lasting Israeli control over the Philadelphi corridor and a second corridor running across Gaza. Hamas has offered to release all hostages in return for an end to the war, the complete withdrawal of Israeli forces and the release of a large number of Palestinian prisoners, including high-profile militants — broadly the terms called for under an outline for a deal put forward by Biden in July.

Netanyahu has pledged “total victory” over Hamas and blames it for the failure of the negotiations. On Monday, he said he is ready to carry out the first phase of the cease-fire — a plan that would include the release of some hostages, a partial pullout of Israeli troops and the release of some prisoners held by Israel.