Ukraine launched new airstrikes on Russian positions in the captured southern Kherson region on Friday, while officials said Ukrainian forces were holding their positions in intense street fighting and under day and night shelling in Severodonetsk.
Severodonetsk and its twin city Lysychansk, on the opposite bank of the Donets River, are the last Ukrainian-controlled parts of Luhansk province, which Russia is determined to seize as one of its principal war objectives.
Ukraine is trying to carry out a counterattack in Kherson, one of the first areas to be taken by Russia after the Feb. 24 invasion, as Kyiv's troops struggle in the eastern Donbass region.
Russian President Vladimir Putin meanwhile compared his current actions to Peter the Great's against Sweden 300 years ago, saying the tsar "wasn't taking anything, he was taking it back."
Zelenskyy said in his evening address on Thursday that several "cities in Donbass, which the occupiers now consider key targets, are holding on."
He added that Ukrainian forces have made positive strides in the Zaporizhzhia and Kharkiv regions outside Donbass, and are in the process of "liberating our land."
Ukraine's Defense Ministry said Friday it had struck Russian military positions in Kherson, which is just north of the Crimean Peninsula that was annexed by Russia in 2014, and among the first regions seized by Russia in February.
"Our aircraft carried out a series of strikes on enemy bases, places of accumulation of equipment and personnel, and field depots around five different settlements in the Kherson region," it said in a statement.
Moscow's authorities in occupied Kherson have floated holding a referendum on integrating with Russia, mirroring a controversial vote in Crimea in 2014, and have announced the Russian ruble would now be used in the region.
Luhansk Governor Serhiy Gaidai said on Friday that Russian forces had destroyed a major sports center, adding: "One of the symbols of Severodonetsk was destroyed. The Ice Palace burned down."
Gaidai told The Associated Press (AP) on Friday that the Ukrainian forces have retained control of the industrial area on the edge of the city of Severodonetsk and also control some other sections. He also said that “battles are going on for every house and every street.”
Pro-Russian separatists have held part of the Donbass region since 2014 and it is now the focus of Moscow's offensive after its forces were repelled from Kyiv weeks into the invasion.
People in the town of Lysychansk, which is located just across a river from Severodonetsk, spoke to Agence France-Presse (AFP) about the stark choices the war has forced on them: either stay and brave the shelling, or flee and abandon their homes.
Yevhen Zhyryada, 39, said the only way to access water is by heading to a water distribution site in the town. "We have to go there under shelling, and under fire," he said. "This is how we survive."
But others have chosen to pack up their belongings and get as far away from the fighting as possible.
"Life made me leave. The constant shelling. And also my grandson. My grandson pleaded with me: 'Grandma, come to us.' Only it's not clear for me where to go, I left their address at home," Lyubov Akatyeva, 65, said.
Defense Minister Oleksii Reznikov has said around 100 Ukrainian soldiers were being killed every day in front-line fighting and as many as 500 wounded.
Separatist authorities in the Donetsk region of Donbass ordered the death penalty for Aiden Aslin, Shaun Pinner and Saadun Brahim, Russian media reported.
Western countries have provided weapons and aid to Ukraine since the Feb. 24 invasion, while some people from abroad have joined the fight against Russian forces.
Kyiv has meanwhile appealed for more weapons from the West.
The leaders of nine central and Eastern European countries were meeting Friday in Bucharest to plead for a strengthening of the eastern flank of NATO, ahead of a major summit in Madrid at the end of June.
Romania will insist that Russia be defined as a "threat to NATO," indicated President Klaus Iohannis before the opening of this meeting, organized jointly with his Polish counterpart Andrzej Duda and also bringing together the heads of state of Bulgaria, Estonia, Hungary, Latvia, Lithuania, the Czech Republic and Slovakia.
Russia has repeatedly warned the West against getting involved, with some officials warning of the risk of nuclear war.
Putin, who has said that what Russia calls its special military operation is meant to "de-Nazify" Ukraine, appeared to compare himself to Peter the Great's 18th-century war against Sweden, in remarks on Thursday.
After visiting an exhibition in Moscow dedicated to the 350th birthday of the tsar, Putin said: "You get the impression that by fighting Sweden he was grabbing something. He was not taking anything, he was taking it back."
In an apparent reference to Ukraine, Putin added: "It is our responsibility also to take back and strengthen."
In the southern Russian city of Volgograd – which in the Soviet era was known as Stalingrad, and was the scene of the bloodiest battle of World War II – many Russians rally behind the invasion.
"Back then there was fascism, now there is neo-fascism," said local resident Alexander Grachev, 50, referring to Ukraine's authorities.