'Uniwersytet Jagiellonski - Wydawnictwo Uniwersytetu Jagiellonskiego'
Doi
Abstract
We consider a nonlinear Neumann elliptic equation driven by the p-Laplacian and a Carathéodory perturbation. The energy functional of the problem need not be coercive. Using variational methods we prove an existence theorem and a multiplicity theorem, producing two nontrivial smooth solutions. Our formulation incorporates strongly resonant equations.