TY - JOUR AU - Aizicovici, Sergiu AU - Papageorgiou, Nikolaos S. AU - Staicu, Vasile PY - 2016/04/12 Y2 - 2024/03/29 TI - Nodal solutions for nonlinear nonhomogeneous Neumann equations JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 43 IS - 2 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2014.025 SP - 421 - 438 AB - We consider a nonlinear Neumann problem driven by a nonhomogeneousdifferential operator with a Caratheodory reaction which is $(p-1)$-sublinear near $\pm\infty$. Using variational tools we showthat the problem has at least three nontrivial smooth solutions (one positive,one negative and a third nodal). Our formulation unifies problems driven bythe $p$-Laplacian, the $(p,q) $ Laplacian and the $p$-generalized mean curvature operator. ER -