Over the past two days, President-elect Donald Trump has made clear that he has designs for American territorial expansion, declaring that the United States has both security concerns and commercial interests that can best be addressed by bringing the Panama Canal and Greenland under American control or outright ownership.

Trump’s tone has had none of the trolling jocularity that surrounded his repeated suggestions in recent weeks that Canada should become America’s “51st state,” including his social media references to the country’s beleaguered prime minister as “Governor Justin Trudeau.”

Instead, while naming a new ambassador to Denmark — which controls Greenland’s foreign and defense affairs — Trump made clear on Sunday that his first-term offer to buy the landmass could, in the coming term, become a deal the Danes cannot refuse.

He appears to covet Greenland both for its strategic location at a time when the melting of Arctic ice is opening new commercial and naval competition and for its reserves of rare earth minerals needed for advanced technology.

“For purposes of National Security and Freedom throughout the World,” Trump wrote on social media, “the United States of America feels that the ownership and control of Greenland is an absolute necessity.”

On Saturday evening, he had accused Panama of price-gouging American ships traversing the canal, and suggested that unless that changed, he would abandon the Jimmy Carter-era treaty that returned all control of the canal zone to Panama.

“The fees being charged by Panama are ridiculous,” he wrote, just before an increase in the charges scheduled for Jan. 1. “This complete ‘rip-off’ of our country will immediately stop.”

He went on to express worry that the canal could fall into the “wrong hands,” an apparent reference to China, the second-largest user of the canal. A Hong Kong-based firm controls two ports near the canal, but China has no control over the canal itself.

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Not surprisingly, the government of Greenland immediately rejected Trump’s demands, as it did in 2019, when he first floated the idea. “Greenland is ours,” Prime Minister Mute B. Egede said in a statement. “We are not for sale and will never be for sale. We must not lose our long struggle for freedom.”

The Danish prime minister’s office was more circumspect, writing in a statement that the government was “looking forward to working with the new administration” and offering no further comment on Trump’s remarks.

After Trump brought up the Panama Canal again in a speech on Sunday, Panama’s president, José Raúl Mulino, said in a video that “every square meter of the Panama Canal and its adjacent zones is part of Panama, and it will continue to be.” He added: “Our country’s sovereignty and independence are not negotiable.”

But the president-elect’s statements — and the not-so-subtle threats behind them — were another reminder that his version of “America First” is not an isolationist creed.

His aggressive interpretation of the phrase evokes the expansionism, or colonialism, of President Theodore Roosevelt, who took control of the Philippines after the Spanish-American War. And it reflects the instincts of a real estate developer who suddenly has the power of the world’s largest military to back up his negotiating strategy.

Trump has often suggested that he does not always see the sovereignty of other nations’ borders as sacrosanct. When Russia invaded Ukraine, his first response was not a condemnation of the blatant land grab, but rather the observation that President Vladimir Putin’s move was an act of “genius.”

Even now, as Trump seeks a deal to end the war in Ukraine, he has never said that the country’s borders must be restored, a key demand of the United States and NATO — he has only promised a “deal” to end the fighting.

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Arctic experts did not dismiss Trump’s Greenland bid as a joke.

“Not that many people are laughing about it now,” said Marc Jacobsen, an associate professor at the Royal Danish Defense College in Denmark who focuses on Arctic security.

Jacobsen noted that the reaction in Denmark to Trump’s latest bid had been one of fury (one Danish politician called it “an unusually strange way to be an ally”). But, he said, Greenlanders — who have long sought independence — may seek to use Trump’s interest as an opportunity to further strengthen economic ties with the United States.

Since 2009, Greenland has had the right to declare its independence, but the vast territory of about 56,000 people is still heavily dependent on Denmark and has never chosen to pursue that path. Trump’s interest could give Greenland an opening for more U.S. investments, including in tourism or rare earth mining, he said.

“Was it crazy when the U.S. acquired Alaska? Was it crazy when the U.S. built the Panama Canal?” asked Sherri Goodman, a former Pentagon official and a senior fellow with the Wilson Center Polar Institute, a Washington-based think tank.

Goodman, whose book “Threat Multiplier: Climate, Military Leadership, and the Fight for Global Security” centers in part on the Arctic, said the United States did have a strong interest in ensuring that China in particular does not develop a strong presence in Greenland.

China’s ambitions in the Arctic have grown, and in 2018 it laid out plans to build infrastructure and develop shipping lanes opened by climate change. Goodman said the United States should continue to prevent China from gaining a foothold in the doorstep to North America, but said Greenlanders must decide their own fate.

“We want to have all those territories proximate to our own mainland territory to protect us and also to prevent an adversary from using it to our strategic disadvantage,” Goodman said. “On the other hand, there is international law and international order and sovereignty, and Greenland is still a part of Denmark.”

When it comes to Panama, Trump may also hold a distant personal grudge.

In 2018, Panamanian police officers evicted the Trump Organization from the Trump International Hotel in Panama City after a protracted legal battle between the president-elect’s family and the majority owner of the property. The Trump name subsequently came down. The company had held a contract to manage the property.