The existence of infinitely many solutions of the following Dirichlet problem for p-mean curvature operator:{-div((1+|△↓u|^2)p-2/2△↓u)=f(x,u),x∈Ω. u∈W^1-
Some equivalent conditions on the classes of lighted-tailed and heavily heavy-tailed and lightly heavy-tailed d. f. s are introduced. The limit behavior of x