HONG KONG — Protests erupted Monday among Muslims in Asia, Australia and Russia over a military campaign in Myanmar that has forced tens of thousands of fellow Muslims to flee across the border to Bangladesh.

The demonstrations raised the pressure on Daw Aung San Suu Kyi, the de facto leader of Myanmar and a Nobel Peace Prize laureate who once embodied her country’s fight for democracy and human rights.

In Chechnya, tens of thousands poured into the streets in a government-sanctioned protest against what the country’s leader, Ramzan Kadyrov, called Myanmar’s “genocide” against the persecuted Rohingya minority.

Mr. Kadyrov also criticized the Russian government, issuing vague threats if the Kremlin does nothing to stop violence that he compared to the Holocaust. “If Russia were to support the devils who are perpetrating the crimes, I will go against Russia,” he said in a video released before the rally.