LOS ANGELES — They began showing up at dusk last week, wandering the streets, slumped in wheelchairs and sitting on sidewalks, paper plates perched on their knees. By 6:30 p.m., more than 100 homeless people had lined up at a barren corner in Hollywood, drawn by free meals handed out from the back of a truck every night by volunteers.

But these days, 27 years after the Greater West Hollywood Food Coalition began feeding people in a county that has one of the worst homeless problems in the nation, the charity is under fire, a flashpoint in the national debate over the homeless and the programs that serve them.

Facing an uproar from homeowners, two members of the Los Angeles City Council have called for the city to follow the lead of dozens of other communities and ban the feeding of homeless people in public spaces.

“If you give out free food on the street with no other services to deal with the collateral damage, you get hundreds of people beginning to squat,” said Alexander Polinsky, an actor who lives two blocks from the bread line. “They are living in my bushes and they are living in my next door neighbor’s crawl spaces. We have a neighborhood which now seems like a mental ward.”