WASHINGTON — President Obama, fresh off a trouncing of congressional Republicans over the government shutdown, plans to renew his push for immigration legislation in the House while also pressing ahead with climate change policies and efforts to fix problems plaguing his signature health-care program.

White House officials acknowledged that many Republicans, particularly in the House, remain ardently opposed to much of Obama’s agenda and may remain unwilling to help him accomplish key legislative goals.

But administration officials say they hope to persuade a chastened Republican Party, battered in the polls, to support elements of Obama’s languishing agenda, even though some Republicans will be satisfied with stalling tactics until the clock runs out.