Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the $p$-Laplacian
Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the $p$-Laplacian
For a certain range of the eigenvalue parameter we prove a new multiple and sign-changing solutions theorem. The novelties of our paper are twofold. First, unlike recent papers in the field we do not assume jumping nonlinearities and allow a rather general growth condition on the nonlinearity involved. Second, our …