Special Session 178: Nonlinear Evolution Equations and Related Topics

Parametric nonlinear nonhomogeneous singular problems with an indefinite perturbation
VASILE STAICU
University of Aveiro
Portugal
Co-Author(s):    Sergiu Aizicovici, N. S. Papageorgiou and Vasile Staicu
Abstract:
{ We consider a singular Dirichlet problem driven by a nonlinear nonhomogeneous differential operator and with a reaction involving the competing effects of a parametric singular term and of an indefinite superlinear Caratheodory perturbation. Using variational tools together with truncation and comparison techniques, we prove an existence and multiplicity result which is global in the parameter $\lambda >0$ (a bifurcation-type theorem).}