most citedGround state solution for a class of modified nonlinear fourth-order elliptic equation with sign-changing unbounded potential

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math.AP2019★ 2 cited

Ground state solution for a class of modified nonlinear fourth-order elliptic equation with sign-changing unbounded potential

Jose Carlos de Oliveira Junior

We are concerned on the fourth-order elliptic equation \begin{equation}\tag{} \left\{ \begin{array}[c]{ll} Δ^2 u- Δu + V(x)u -λΔ[ρ(u^2)]ρ'(u^2)u= f(u)\, \, \mbox{in} \, \, \ma…