Three solutions for parametric problems with nonhomogeneous (a,2)-type differential operators and reaction terms sublinear at zero
- Autori: Candito, Pasquale; Gasiński, Leszek; Livrea, Roberto
- Anno di pubblicazione: 2019
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/371052
Abstract
We consider parametric Dirichlet problems driven by the sum of a Laplacian and a nonhomogeneous differential operator ((a,2)-type equation) and with a reaction term which exhibits arbitrary polynomial growth and a nonlinear dependence on the parameter. We prove the existence of three distinct nontrivial smooth solutions for small values of the parameter, providing sign information for them: one is positive, one is negative and the third one is nodal