Abstract:In this paper, we study the following quasilinear Schrödinger equations
−Δu− Δ(|u|2α)|u|2α−2u=ω(x)|u|q−1u,x∈ℝN,
where
α>12 is a parameter,
q>3α−1+α2α,
ωfalse(xfalse)∈Cfalse(ℝN\false{0false}false) is a positive function. We establish a Liouville type theorem for the class of stable bounded sign‐changing solutions under suitable assumptions on ω(x), q, α and N.
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