Parametric singular double phase Dirichlet problems

Abstract

We consider a parametric (with two parameters μ,λ>0\mu ,\lambda \gt 0) Dirichlet problem driven by the double phase differential operator and a reaction which has the competing effect of a singular term and of a superlinear perturbation. We prove a bifurcation-type result in the parameter λ>0\lambda \gt 0, when the other parameter μ>0\mu \gt 0 is large.

Keywords

• singular term
• double phase operator
• orlicz-sobolev space
• positive solution
• existence, and multiplicity result
• 35j60
• 35j66
• 35j75