Image source, EPA-EFE/REX/Shutterstock

Although it wasn't mentioned during the president's Inauguration, Trump has reiterated calls for the US to acquire Greenland - which is an autonomous territory of Denmark.

Asked about Greenland by reporters in the Oval Office on Monday, Trump said: "Greenland is a wonderful place, we need it for international security.

"I'm sure that Denmark will come along -- it's costing them a lot of money to maintain it, to keep it," he added.

In response, Greenland's Prime Minister Mute Egede said in a news conference on Tuesday: "We are Greenlanders. We don't want to be Americans. We don't want to be Danish either. Greenland's future will be decided by Greenland."

Jordan Kenny
BBC Newsbeat, in Las Vegas

BBC Newsbeat has been speaking to students at a university campus in Las Vegas, Nevada, to get their reaction to the first hours of Donald Trump’s presidency.

Callie, 19, says she's in favour of the country’s new leader because he "got TikTok back".

Like millions of young Americans, she was temporarily without the popular video platform as a national ban briefly came into force before Trump took office.

He has claimed credit for saving the Chinese-owned app, though opponents have pointed out that he had previously vowed to ban it.

We played Callie and her four friends an excerpt of Trump's inauguration speech. Nate, also 19, speaks for the group when he says they broadly agree the country is "heading in the right direction" under the new president.

Callie says the vision outlined in Trump's address "makes sense", but she would like to see more financial aid for students – something lots of the young people we’ve spoken to here agree with.

"I feel like there are good opportunities," says Callie. "But there could be more."

On immigration, the friends say they don't know too much about the topic. But Luke, 18, says he is happy to see Trump take action.

"I think it’s good he’s tightening it up for things like drug cartels," he says.

"But I think if they’re good and they want to have a better lifestyle in the US they should be able to move here."

The Visual Journalism Team
BBC News

Incoming presidents bring their personal touch to their new place of work.

President Trump’s redecorated Oval Office includes family photos, ceremonial coins, a reinstated bust of Winston Churchill and a fresh Andrew Jackson painting, all part of an inauguration day overhaul.

We've pulled out a few of the notable changes Trump has made to the most exclusive office space in America:

• As in his first term, there is a valet button on the edge of President Trump's desk which he's reported to use when he wants an aide to bring him a Diet Coke.
• The Bronco Buster - this well-known statue had been in the Oval Office since 1977, until Biden removed it. It depicts a cowboy on a wild horse – but the rider is not Teddy Roosevelt, as Trump once suggested.
• Trump again has a portrait of the seventh US president, Andrew Jackson, to the left of his desk, though a different painting from his first term, which had been on loan from the US Naval Academy.
• Winston Churchill returns to the Oval Office. The removal of a bust, which had been loaned to President George W Bush, became a talking point after President Obama removed it.

Earlier we reported President Donald Trump is expected to make an announcement concerning infrastructure this afternoon.

CBS News, the BBC's US partner, has now obtained more details on the contents of the announcement.

The news outlet says, external Trump is set to announce up to $500bn (£405bn) in private sector investment to build artificial intelligence (AI) infrastructure in the US.

The deal involves players such as OpenAI, Softbank and Oracle, which are planning a joint venture called Stargate, CBS says, citing multiple people familiar with the matter.

The CEOs of the three tech companies are expected at the White House later today, CBS adds.

A grandmother in her 70s - who was imprisoned for taking part in the Capitol riots - says she will refuse a pardon if given to her by US President Donald Trump.

Pamela Hemphill, once nicknamed "MAGA Granny" on social media, was of those rioters who stormed the Capitol on 6 January.

But Hemphill seems to have a change of heart. Now, she wants no part Trump’s clemency outreach.

Quoting a post from former Republican congressman Adam Kinzinger, she wrote on X, external: "I’m not going to be bullied by MAGA anymore.

"I will refuse a pardon from felon Trump!”

After filming her actions during the riot, and posting the footage on Facebook, the retired counsellor subsequently spent two months behind bars.

She says that people won't stop her from being outspoken - and those who do only give her more confidence to continue

Image source, Getty Images

US Capitol rioter Jacob Chansley, also known as the "QAnon Shaman", announced on X that he was going to buy some guns, moments after he found out he had been pardoned by President Trump.

"I just got the news from my lawyer. I got a pardon baby," Chansley said.

"I love this country."

Chansley was one of the roughly 1,500 people charged in connection with 6 January 2021 Capitol riot whom Trump issued pardons and commutations for on Monday.

His image was among the most well-known, pictured inside the Capitol with his face painted in American flag colours and a furry, horned helmet atop his head.

In September 2021, he pleaded guilty to a felony charge of obstruction of an official proceeding.

It is a crime for convicted felons to own guns in the US. But under a full pardon, a formerly convicted person is absolved of the crime and its consequences, enabling Chansley to legally buy a firearm.

Tom Bateman
BBC News

Image source, Reuters

I'm in the lobby of the State Department where cheers and applause burst out from hundreds of staff as Marco Rubio arrived on his first day as secretary of state.

Surrounded by his family on the staircase, he paid tribute to those gathered and to the department's staff across the world calling them the "most experienced, talented diplomatic corps" in history.

Rubio is the first member of President Trump’s cabinet to be sworn in, taking on the role of America’s chief diplomat at a time of international crises.

He said part of the reason the American people had chosen Trump was because he pledged to put the US national interest at the heart of foreign policy.

Rubio appeared to try to ease concerns amid speculation the new administration could try to root out career staff across the federal government seen as hostile to his agenda. He said there would be changes but these would not be "destructive" or "punitive". He said the aim was modernising the department as a "21st-century agency".

Rubio, who served on the Senate Foreign Relations committee, told the staff that he wanted the State Department to be "better" than any other agency in the government when it came to executing ideas and policies.

A federal judge in Washington DC has ordered an emergency hearing with civil rights group ACLU on Tuesday over a move from the Trump administration to end an app used by migrants.

The CBP One app, launched by the Biden administration, allowed migrants to apply to enter the US legally as asylum-seekers.

It was the only way for people to get an appointment to request asylum.

Trump signed an executive order shutting it down on Monday.

American Civil Liberties Union (ACLU) and other civil rights advocates argue the move has basically killed asylum at the US-Mexico border.

Bernd Debusmann Jr
Reporting from the White House

The new Trump administration has told border officials to use the term "illegal aliens" when referencing undocumented people living in the US - a stark departure from the Biden administration.

The news was first reported by CBS, the BBC's US partner.

The term is already found in US immigration law - but it's controversial. Advocates and migrants' organisations argue that it dehumanises migrants.

While the act of crossing the border with papers is illegal, they argue, the individual is not.

CBS has also reported that border officials have been told to stop releasing most migrants - even those with court notices for a future date - into the US without permission from headquarters.

Image source, EPA

As we've been reporting, a coalition of 18 Democratic-led states along with the District of Columbia and city of San Francisco are suing the Trump administration over its effort to end birthright citizenship.

Trump's executive order seeks to change the rules to deny the granting of citizenship to the children of migrants who are either in the US illegally or on temporary visas. It does not suggest that it should apply retrospectively.

The Democratic coalition argues Trump's order violates the US Constitution.

The 14th Amendment states: "All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the state wherein they reside."

The order argues that the constitution has been misinterpreted, arguing that "subject to the jurisdiction thereof" refers only to children of citizens or lawful permanent residents.

Changing the constitution would require a two-thirds vote in both chambers of Congress, and most legal scholars agree that Trump cannot end birthright citizenship with an executive order.

The states making up the coalition are New York, California, Colorado, Connecticut, Delaware, Hawaii, Maine, Maryland, Massachusetts, Michigan, Minnesota, Nevada, New Jersey, New Mexico, North Carolina, Rhode Island, Vermont, and Wisconsin.

After sitting through a sermon at the Washington National Cathedral, Donald Trump told reporters: "I didn't think it was a good service".

"They could do much better," Trump said.

The remarks came after President Trump and his family attended a service at Washington National Cathedral.

During the sermon, the reverend addressed Trump directly, asking him to "have mercy on the people in our country who are scared now".

Image source, Reuters

In her sermon in Washington National Cathedral a little earlier, Right Reverend Mariann Budde addressed President Donald Trump directly.

The Episcopal Bishop of Washington asked him to "have mercy" on LGBT people and undocumented migrants.

She noted that during his inauguration speech, Trump said he had "been saved by God".

"In the name of God, I ask you to have mercy on the people in our country who are scared now," Budde said.

"There are gay, lesbian and transgender children in Democratic and Republican and independent families, some who fear for their lives."

She went on to talk about undocumented migrants and their families, saying "they may not be citizens or have the proper documentation, but the vast majority of immigrants are not criminals".

She asked the president to show "mercy" to these people.

Eighteen states, along with the city of San Francisco and the District of Columbia, have sued the federal government over the executive order to end birthright citizenship in the US that was signed by President Donald Trump last night.

We're looking through the lawsuits and will have more info soon.

Image source, Getty Images

The Trump administration has fired US Coast Guard Commandant Admiral Linda Lee Fagan, who in 2022 became the first woman to lead a branch of the US military.

Fagan was dismissed on Monday night and her departure was announced in a workforce-wide message by Acting Homeland Security Secretary Benjamin Huffman.

A senior DHS official said in a statement that Fagan was terminated "because of her leadership deficiencies, operational failures, and inability to advance the strategic objectives of the U.S. Coast Guard", the BBC's US partner CBS reports.

The official also criticised Hagan for "[e]xcessive focus on Diversity, Equity, and Inclusion policies including at the US Coast Guard Academy, diverting resources and attention from operational imperatives".

The Coast Guard commandant is appointed for a four-year term, and Fagan had served two years.

Regan Morris
Reporting from the DC Central Correctional Facility

Families of those still detained for their alleged actions during the riot at the US Capitol on 6 January 2021 are growing increasingly frustrated outside the Washington DC central jail.

President Donald Trump’s sweeping pardons mean many prisoners have been released across the country, but inside this jail there are inmates who have not yet been tried and convicted.

Ben Pollock, whose children Jonathan and Olivia are locked inside the detention centre, says he spoke to his son inside the jail and he says they might be moved to another facility.

“We have no idea what’s happening,” he says. “Why haven’t they been released?”

Image source, Reuters

More now on what we can expect from Trump's first day in office – later today the president is expected to meet Republican Senate Majority Leader John Thune and House Speaker Mike Johnson.

The pair will be crucial in Trump's effort to reshape government policy and spending priorities, as the senior politicians in charge of the Republican majorities in both houses of Congress.

Mike Wendling
US digital reporter

Image source, Reuters

Two of the most recognisable leaders of the riot at the US Capitol in 2021 are now out of prison.

Enrique Tarrio was leader of the far-right Proud Boys group and was sentenced to 22 years in prison. His family said he was released this morning.

Tarrio got a full pardon while Stewart Rhodes, founder of the Oath Keepers militia, had his sentence commuted by Trump.

Rhodes's lawyer says he was released from federal prison shortly after midnight.

James Lee Bright told me by phone from Texas that the pardons and the speed of the releases took many by surprise.

When Trump was vague about the status of the convicts in his speeches Monday, "that left us scratching our heads," Lee says.

He only got word that his client Rhodes - one of several Capitol rioters he has defended - would be released about an hour before Trump signed the executive order which commuted the militia leader's 18-year sentence.

Tarrio and Rhodes - who have a history of bickering, according to testimony - led contingents of their groups to the Capitol, hoping to keep Donald Trump in the White House. Neither entered the building - Tarrio was banned from DC and watched the riot from Baltimore - but were in touch with members of their groups inside.

Image source, Reuters

Two high-profile people convicted in relation to the 6 January 2021 attack on the Capitol have been released from prison.

Stewart Rhodes, the former leader of the Oath Keepers group, was released from a facility in Cumberland, Maryland. He had been serving an 18-year sentence.

Proud Boys leader Enrique Tarrio was also released, his mother said on social media. He had been jailed for 22 years over the riot.

What does declaring a border emergency mean?published at 17:22 Greenwich Mean Time 21 January

17:22 GMT 21 January

By Ben Chu and Lucy Gilder

Can Trump do this?

There is precedent. Trump declared a national border emergency in his first term in February 2019 in order to bypass Congress, which was, at that time, refusing to give him funds for a continuous border wall with Mexico.

US law does not define national emergency, but the Congressional Research Service suggests, external it is "a sudden unforeseen set of circumstances posing a danger to the nation to an extent that requires prompt action to avert disaster".

The new executive order declaring the national border emergency allows for the US military to be deployed at the border. Like the previous one, it also enables federal funding to be used for the construction of a border wall.

What are the roadblocks?

There might be legal challenges. One immigration advocacy group has said his broader border plans - which include an executive order giving the military a role in immigration enforcement - "do not uphold American values".

Several states and the American Civil Liberties Union filed lawsuits against Trump’s 2019 declaration of emergency at the southern border, arguing that the president was abusing emergency powers.

What is the potential real life impact?

More security on the border could reduce illegal crossings, but people fleeing persecution could also be denied the legal right to seek asylum at the border according to immigration advocacy groups.

There also remain questions about whether a full new continuous border wall, which the order is designed to facilitate, will ever be built given the immense cost and logistical barriers. Only 85 miles (137km) of entirely new sections of wall were built during Trump’s first term. The rest was either replacing or reinforcing existing barriers.

Can Trump really end birthright citizenship?published at 17:09 Greenwich Mean Time 21 January

17:09 GMT 21 January

By Jake Horton

There have been reports that the administration will enforce the order by withholding documents, such as passports, from people it deems ineligible for citizenship.

However, the principle of birthright citizenship is established in the US Constitution.

The 14th Amendment says: “All persons born or naturalized in the United States… are citizens of the United States.”

What are the roadblocks?

There could be legal challenges. The order has already drawn one which claims the order is “unconstitutional, and flouts fundamental American values”.

“Ultimately this will be decided by the courts. This is not something he can decide on his own,” Saikrishna Prakash, a constitutional expert told the BBC.

What is the impact?

Trump has threatened mass deportations, which could include those whose birthright citizenship is revoked if Trump is successful in enforcing this executive action.

Legal cases could ultimately have to be decided by the US Supreme Court, which could take a long time.