Abstract
In this paper, using the fixed-point index method, we are concerned with the existence of sign-changing solutions of the following problem(0.1){−(a+b∫Ω|u(x)|γdx)Δu=f(u),x in Ω,u(x)=0,x on ∂Ω, where a>0, b>0 and Ω⊆RN is a bounded open set with smooth boundary and γ≥1.
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