Abstract
In this paper, we establish fountain theorems over cones and apply it to the quasilinear elliptic problem (1){−Δpu=λ|u|q−2u+μ|u|γ−2u,x∈Ω,u=0,x∈∂Ω,to show that problem (1) possesses infinitely many solutions, where 1 <p <N, 1 <q <p < γ, Ω⊂ℝN is a smooth bounded domain and λ, μ∈ℝ.
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