Scott Parker had said he wanted Turf Moor to be "bouncing" for the visit of Crystal Palace, but there was little for the home supporters to shout about as the Clarets often toiled in the final third.
In seven Premier League home matches this season, they have not only registered a paltry tally of five goals - fewer than any other team at their own ground - but they are also looking increasingly fragile at the other end.
AdvertisementAdvertisementAdvertisementThe Burnley boss will be furious with the manner of the Eagles' winner - and in particular with Anthony, who failed to track the run of Daniel Munoz, who ghosted in at the back post to nod home Marc Guehi's floated delivery.
The introductions of Jacob Bruun Larsen, Marcus Edwards and Hannibal Mejbri provided more attacking spark in the second period, but despite an improved display the hosts were unable to arrest their recent run of defeats.
After Bruun Larsen had rattled the woodwork, it was another second-half substitute - Armando Broja - who almost salvaged a point with a late, backward header that Chris Richards cleared, condemning Burnley to a third successive home loss.