We consider a parametric semilinear Dirichlet problem with an unbounded amundsen field slacks herre and indefinite potential.In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term.Using variational methods coupled with suitable laufenn 275/55r20 truncation techniques, we prove two multiplicity theorems for small values of the parameter.Both theorems produce five nontrivial smooth solutions, and in the second theorem we provide precise sign information for all the solutions.