Key points
- Big picture: What you need to know this week
- Zelenskyy warns Russian troops preparing to intensify attacks on second front
- Number killed rising after Russian attack on DIY store kills more than 40 people| 16 confirmed dead
- Eyewitness:Russia producing shells three times faster than Ukraine's allies
- Live reporting by Michael Drummond and (earlier)Brad Young
Ukrainian troops forced to train without firing
By Deborah Haynes, security and defence editor
Russia is producing artillery shells around three times faster than Ukraine's Western allies and for about a quarter of the cost, according to an analysis shared with Sky News.
The war has been described from the start as a "battle of fires" because of the volume of artillery rounds used.
Ukraine's allies have sought to ramp up production, but their ability still lags behind Moscow's.
As a result, Ukrainian soldiers on the frontline say for every one round they fire against Russian positions, the invading troops can launch around five shells back.
Battling against the odds, the Ukrainians say they have become skilled at trying to make every round count.
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Zelenskyy: Let us strike targets inside Russia
In the aftermath of the deadly strike on the city of Kharkiv, Volodymyr Zelenskyy has renewed his call for Western countries to allow Ukraine to use donated weapons against targets in Russia.
The US and other NATO countries have thus far resisted Ukrainian requests to use their donated weapons outside of Ukraine's borders.
They fear escalation with Moscow, but the consequences of the policy - Ukraine says - were clear when Russian troops were able to mass across the border from Kharkiv.
Speaking on X this afternoon, President Zelenskyy said: "The world has the means to counter Russian terror, and we in Ukraine need this assistance.
"Timely and sufficient support from partners. Steady and unwavering support for our warriors.
"Additional modern air defence systems, particularly Patriots, and the ability to destroy Russian terrorists so that they cannot approach our borders."
Russian casualties have passed 500,000, Ukraine says
The number of Russian casualties since the beginning of the full-scale invasion has passed half a million, Ukraine says.
More than 1,000 more were either killed or wounded in the last 24 hours.
While other Western estimates on Russian losses differ from Ukraine's, it is nonetheless a sign of the staggering human cost of the war for Moscow.
Russia does not routinely publish numbers of casualties or losses of equipment. Ukraine provides some figures but it does so infrequently.
In February, Volodymyr Zelenskyy said that 31,000 of his troops had been killed in two years of war.
Sweden allowing Ukraine to strike targets in Russia using its weapons
As Ukraine battles to deter Russia's offensive around Kharkiv, the debate around restrictions on the use of weapons donated by NATO countries continues.
The US is coming under increasing pressure to drop its ban on Ukraine using its weapons to hit targets inside Russia.
President Joe Biden and co have been worried that allowing Ukraine to do so would be seen as escalation by Moscow.
Ukraine was forced to watch as Russian troops amassed across the border near Kharkiv, unable to bring its full weaponry to bear.
With the debate in full swing - and the US reportedly considering a change - Sweden has confirmed that Ukraine can use its weapons against targets in Russia.
Defence minister Pal Jonson told Swedish newspaper Hallandsposten that no such rule applied to his country's weapons.
He said: "Ukraine is exposed to an unprovoked and illegal war of aggression by Russia.
"According to international law, Ukraine has the right to defend itself by means of hostilities aimed at the territory of the adversary as long as the hostilities comply with the laws of war.
"Sweden stands behind international law and Ukraine's right to defend itself."
Pictures show destruction after DIY store attack as number killed rises to 16
The number of people killed in a Russian attack on a hardware store in Karkhiv city has risen to 16, according to governor Oleh Syniehubov.
Dozens more have been injured and, in an update this morning, 16 were said to be missing.
Pictures taken by Reuters photographers on the ground showed firefighter working at a site of the airstrike.
Russia's northeastern gains will be limited in coming week, says MoD
Vladimir Putin's attempt to create a buffer zone by invading the Kharkiv region has been unsuccessful thus far, according to British military intelligence.
Russian gains in the northeast have not been joined up, and further advancements will be limited in the coming week, the UK defence ministry said.
This is because Russia's initial momentum has been contained by Ukrainian resistance, it said.
"The northern Kharkiv front has likely stabilised with Russian territorial control fragmented."
Nonetheless, Russian forces continue to attack the town of Vovchansk for a third week, the UK MoD said.
It remains contested, with Ukraine repelling the majority of Russian assaults.
Russian soldiers are attempting to flank Ukrainian troops from the southwest, with likely control of Buhruvatka village and moves towards a crossing over the Siverskiy Donets river.
Russia has also continued to launch attacks at the village of Lyptsi but have made no significant progress, according to the Ukrainian General Staff.
'Don't burn the UN charter': Zelenskyy calls on Xi to join peace summit
Volodymyr Zelenskyy has directly called on his US and Chinese counterparts to join his latest summit for peace in Ukraine.
Speaking from Kharkiv in northeastern Ukraine on Friday, Mr Zelenskyy announced a "global peace summit", co-hosted by Switzerland, starting on 15 June.
He claimed 80 countries have already confirmed their attendance.
But he said: "I am appealing to the global leaders of the world who are still outside the global efforts of the global peace summit.
"To president Biden, the leader of the United States, and to president Xi, the leader of China, we do not want the UN charter to be burned.
"Please show your leadership in advancing the peace."
He added that it must be "real peace - not just a pause in the strikes" after various ceasefire breaches by the Russians.
Finally, he urged: "The efforts of the global majority are the best guarantee that all commitments will be fulfilled."
Zelenskyy warns Russian troops preparing to intensify attacks on second front
Volodymyr Zelenskyy has warned Russia is preparing to intensify its invasion along Ukraine’s northern border.
In a video statement from Kharkiv, Mr Zelenskyy said Russia was preparing offensive actions 55 miles northwest of Ukraine's second largest city.
Russians "gather another group of troops near our border", he said.
He did not specify where the troops are being assembled, but Ukrainian officials have expressed strong concerns about the Sumy region.
Moscow's troops have in recent weeks captured villages in the Kharkiv area and analysts say they may be trying to get within artillery range of the city.
Ukrainian authorities have evacuated more than 11,000 people from the region since the start of the offensive on 10 May.
Russian attack on DIY store kills at least 14 and injures more than 40 people
The number of people killed by the Russian bombing of a Ukrainian DIY store has risen to 14.
Some 43 people have been injured and 16 remain missing after the attack on the city of Kharkiv yesterday, governor Oleh Syniehubov said.
Kharkiv mayor Ihor Terekhov said about 120 people had beenin the hardware store when the bombs struck.
"The attack targeted the shopping centre, where there weremany people - this is clearly terrorism," Mr Terekhov said.
The past week has seen an uptick in strikes on the cityafter Russian troops stormed across the border, opening a newfront 40 miles north.
At the start of the war, Russian reached the outskirts of the city in a failed bid to capture it.
Russia producing shells three times faster than Ukraine's allies
By Deborah Haynes, security and defence editor
Russia is producing artillery shells around three times faster than Ukraine's Western allies and for about a quarter of the cost, according to an analysis shared with Sky News.
The figures, produced by the management consulting firm Bain & Company, underline a major challenge faced by the Ukrainian armed forces as they rely on supplies of ammunition from the United States and Europe to battle Russia's full-scale invasion.
The war has been described from the start as a "battle of fires" because of the volume of artillery rounds used.
It prompted the US, the UK and other European allies to seek to ramp up production in their respective factories, but their ability to manufacture artillery rounds still lags behind Russia's despite a combined economic strength that far outmatches Moscow's.
As a result, Ukrainian soldiers on the frontline say for every one round they fire against Russian positions, the invading troops can launch around five shells back.
Battling against the odds, the Ukrainians say they have become skilled at trying to make every round count.
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