Subcritical Perturbations of Resonant Linear Problems with Sign-changing Potential

نویسنده

  • TEODORA-LILIANA DINU
چکیده

We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain solutions using the Mountain Pass lemma and the Saddle Point theorem. Our paper extends some recent results of Gonçalves, Miyagaki, and Ma.

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تاریخ انتشار 2005