摘要
We consider the FuAcˇik spectrum of p-Laplacian equation -Δpu=αa（x）（u+）p-1+(βa（x）（u-）p-1 x)∈Ω,u=0,x∈Ω in Ω,u=0 on Ω,where Ω is a bounded smooth domain in RN（N≥1） with boundray Ω.We apply a variant of mountain-pass above equation.Furthermore,we also get a nontrivial solution of a nonresonance problem.
We consider the FuAcˇik spectrum of p-Laplacian equation -Δ_pu=αa(x)(u^+)^(p-1)+(βa(x)(u^-)^(p-1) x)∈Ω,u=0,x∈Ω in Ω,u=0 on Ω,where Ω is a bounded smooth domain in R^N(N≥1) with boundray Ω.We apply a variant of mountain-pass above equation.Furthermore,we also get a nontrivial solution of a nonresonance problem.
出处
《湖北民族学院学报（自然科学版）》
CAS
2004年第1期19-25,共7页
Journal of Hubei Minzu University(Natural Science Edition)
基金
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