Abstract

Using the dual method we establish the existence of a nodal ground state solution for the following class of problems{Δ2u=f(u),inΩ,u=Bu=0,on∂Ω, where Ω⊂RN(N≥1) is a smooth bounded domain, Δ2 is the biharmonic operator, B=Δ or B=∂∂ν and f is a C1-function having subcritical growth.

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