Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential
(EN)
Aizicovici, S
(EN)
Papageorgiou, NS
(EN)
Staicu, V
(EN)
We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical-point theory for locally Lipschitz functions, we prove two existence theorems under conditions of resonance at infinity with respect to the first two eigenvalues of the negative scalar p-Laplacian with periodic boundary conditions.
(EN)