Article ID Journal Published Year Pages File Type
4664741 Acta Mathematica Scientia 2010 8 Pages PDF
Abstract

In this paper, we establish fountain theorems over cones and apply it to the quasilinear elliptic problem equation(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⊂ℝNΩ⊂ℝN is a smooth bounded domain and λ, μ∈ℝμ∈ℝ.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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