The ravenous came for a taste of home in a dish of spicy fried beef or steamed fish head. Waiters, speaking in Mandarin, delivered plates heated with green and red chiles.

It was opening night in Hong Kong at Return Home Hunan, a well-known chain from mainland China trying to wedge into the city’s competitive food scene. Huang Haiying, the restaurant’s founder, greeted customers in a bright red suit while waiters handed out red envelopes stuffed with coupons.

Hong Kong is a difficult place to open a restaurant these days. Fewer people are dining out, and more restaurants have closed than opened this year. But restaurant owners from mainland China, facing their own challenges at home, see an opening.

“Everyone has their own way of surviving, and now it’s about surviving on the margins,” Ms. Huang said. “We’ll see who has more grit and succeeds.”

Return Home Hunan is one of more than a dozen famous Chinese eateries that have opened in Hong Kong in recent months. The owners have been encouraged by a steady flow of new customers from Hong Kong, who have been traveling to Shenzhen, the mainland city next door, in search of more choices.

But the arrival of these restaurants in Hong Kong has been met with some hesitation. A Chinese territory that long operated with a high degree of autonomy, Hong Kong has increasingly come under the tighter grip of Beijing. To some people in the city, the migration of these restaurants is an illustration of how Hong Kong’s culture is slowly being taken over by the rest of China.