Ukrainian officials have rejected demands by Russian forces that defenders of the city of Mariupol should lay down their arms.

Prime Minister Denys Shmyhal said in an interview with ABC that Ukrainian forces still in the city would “fight to the end”.

Troops of the Azov Battalion are still holed up in the massive Azovstal steel complex, but Russia has offered safe passage to those who surrender.

Capturing the whole of the city is seen as a major strategic prize for Russia, leaving it in control of a vast swathe of southern and eastern Ukraine.

Meanwhile in Kharkiv, bombardments continue, with at least five people killed and 13 injured. Fires are said to be raging throughout the city.

The BBC’s Joe Inwood in Dnipro says air raid sirens across eastern Ukraine have gone from sporadic to near constant.

As many population centres in eastern Ukraine come under fire, what about the residents who have been left behind as most people leave?

The small village of Serhiivka was completely quiet on Sunday – hardly a person on the streets or milling around the centre of the village, where you would normally find life.

“I have lived here all my life, I’m not going anywhere,” said Mykola Luhynets, a 59-year-old carrying a rifle and wearing the armband of the territorial defence. Luhynets signed up and took a gun in February. “I will stay in Serhiivka and defend it if necessary,” he said.

Read more from the BBC’s Joel Gunter, as he finds older residents with strong emotional ties and no desire to die away from home.

Pope Francis has used his Easter message to appeal for peace in Ukraine.

He was joined by several Ukrainian officials.

Among them was Melitopol Mayor Ivan Fedorov, who was taken prisoner by Russian forces then released in a prisoner exchange.

A huge queue of lorries has formed at Poland’s eastern border with Belarus as Russian and Belarusian drivers try to leave the EU.

Lorries from the two countries carrying any goods except for medicine, mail or petroleum products are banned from the bloc as of midnight on Saturday (22:00 GMT).

The move is part of sanctions over Russia’s invasion of Ukraine.

When the queue was at its longest on Saturday evening, waiting times were about 28 hours.

With so much of the horror of conflict on display to the world in recent weeks, experts say images posted online will be crucial to prosecuting war crimes in Ukraine.

Cases against individuals could depend on unverified images of unlawful killings, wartime sexual violence and torture, says Prof Yvonne McDermott Rees, of Swansea University.

She said material, known as open-source information, had “completely transformed our way of knowing about human rights violations”.

Witness, a charity that uses videos to document human rights abuses, has published guidelines on how bystanders can gather images that will be acceptable for use in courts.

Read more from our correspondent Paul Pigott’s report.

Scammers have been profiting from the war in Ukraine by spreading emotional appeals across the internet and stealing identities.

Global Disinformation Reporter Hannah Gelbart investigates their emotionally charged tricks, and follows digital paper trails across the internet.