In this paper we study the Kirchhoff problem {−m(‖u‖2)Δu=f(u)in Ω,u=0on ∂Ω in a bounded domain, allowing the function m to vanish in many different points. Under an appropriated area condition, by using a priori estimates, truncation techniques and variational methods, we prove a multiplicity result of positive solutions which are ordered in the H01(Ω)-norm.
Positive solutions for a Kirchhoff problem with vanishing nonlocal term
Siciliano G.
2018-01-01
Abstract
In this paper we study the Kirchhoff problem {−m(‖u‖2)Δu=f(u)in Ω,u=0on ∂Ω in a bounded domain, allowing the function m to vanish in many different points. Under an appropriated area condition, by using a priori estimates, truncation techniques and variational methods, we prove a multiplicity result of positive solutions which are ordered in the H01(Ω)-norm.File in questo prodotto:
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