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

摘要

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 lambda is an element of (0, lambda(2)), lambda(2) is the second positive eigenvalue of the p-Laplacian with indefinite weights. (C) 2003 Elsevier Science Ltd. All rights reserved. [References: 15]