Generalized Fucik Spectrum for the p-Laplacian
Yisheng Huang · Journal of Hubei Institute for Nationalities · 2004
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.