John Kasich, No. 2 in New Hampshire, Turns to an Uncertain South Carolina

Gov. John R. Kasich of Ohio savored his come-from-behind, second-place finish in the New Hampshire Republican primary on Tuesday night as if it were an outright victory.

But the road ahead for his presidential campaign remains arduous and uphill.

Mr. Kasich, who finished near the bottom of the pack in Iowa with less than 2 percent of the vote, had staked his campaign on a strong showing in New Hampshire. And he got one, setting up what looks like an increasingly protracted Republic