Existence results for a superlinear p-Laplacian equation with indefinite weights Original Research Article

In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem of the superlinear p-Laplacian equation with indefinite weights in the case where the eigenvalue parameter λ∈(0,λ2), λ2 is the second positive eigenvalue of the p-Laplacian with indefinite weights.