Special Session 60: 

Neumann boundary value problems with nonhomogeneous operators and convection

Elisabetta Tornatore
Department of Mathematics and Computer Sciences. University of Palermo
Italy
Co-Author(s):    D. Motreanu, A. Sciammetta
Abstract:
We consider a nonlinear differential Neumann problem driven by a non-homogeneous differential operator and with a convection term. Existence and location of solutions are established developping a non-variational approach based on a method of sub-supersolution. The abstract theorem is applied to prove the existence of finitely many positive solutions and infinitely many positive solutions for a class of Neumann problems.