Nonnegative solutions to p-Laplacian elliptic problems

In this paper,we study the existence and multiplicity of p-Laplacian elliptic problems-Δp u=a(x)us+λ(x)ut on bounded domainsΩRN(N ≥3)with indefinite sublinear nonlinearities under Dirichlet boundary conditions.That is,we get the first solution by using the subsuper solution,and then the second solution is obtained by applying the relaxed Mountain Pass Theorem.