Dinu, Teodora-Liliana2021-06-222021-06-222005-10-24Dinu, T. L. (2005). Subcritical perturbations of resonant linear problems with sign-changing potential. <i>Electronic Journal of Differential Equations, 2005</i>(117), pp. 1-15.1072-6691https://hdl.handle.net/10877/13789We 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 Goncalves, Miyagaki, and Ma.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalEigenvalue problemSemilinear elliptic equationExistence resultCritical pointsArticle