CAIRO — Cracks appeared on Sunday in the government of President Mohamed Morsi of Egypt, as he faces mounting pressure over his sweeping decree seeking to elevate his edicts above the reach of any court until a new constitution is approved.

Mr. Morsi’s justice minister began arguing publicly for a retreat. At least three other senior advisers resigned over the measure. And it has prompted widening street protests and cries from opponents that Mr. Morsi, who already governs without a legislature, was moving toward a new autocracy in Egypt, less than two years after the ouster of the strongman Hosni Mubarak.

With a threatened strike by the nation’s judges, a plunge in the country’s stock market and more street protests looming, Mr. Morsi’s administration sent mixed messages on Sunday over whether it was willing to consider a compromise. A spokesman for the president’s party insisted that there would be no change in his edict, but a statement from the party indicated for the first time a willingness to give political opponents “guarantees against monopolizing the fateful decisions of the homeland in the absence of the Parliament.”