Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664741 | Acta Mathematica Scientia | 2010 | 8 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yan Shusen, Yang Jianfu,