ON THE EXISTENCE OF FIVE NONTRIVIAL SOLUTIONS FOR RESONANT PROBLEMS WITH p-LAPLACIAN
نویسندگان
چکیده
In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential. The hypotheses on the nonsmooth potential allow resonance with respect to the principal eigenvalue λ1 > 0 of (−∆p,W 1,p 0 (Z)). We prove the existence of five nontrivial smooth solutions, two positive, two negative and the fifth nodal.
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