Continuity results for parametric nonlinear singular Dirichlet problems

Abstract

In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32]. Denoting by Sλ the set of positive solutions of the problem corresponding to the parameter λ, we establish the following essential properties of Sλ:

Keywords

• parametric singular elliptic equation
• p-laplacian
• smallest solution
• sequential continuity
• monotonicity
• 35j92
• 35j25
• 35p30