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Parametric nonlinear nonhomogeneous singular problems with an indefinite perturbation
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
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
Keywords
Indefinite perturbation, nonlimear regulary theory, nonlinear maximum principle, minimization of energy functionals, positive solutions.
DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1495