本文選題：擬線性橢圓方程組 + Nehari流形　； 參考：《數(shù)學(xué)物理學(xué)報(bào)》2017年04期

【摘要】：該文運(yùn)用Nehari流形和纖維環(huán)映射方法研究非局部擬線性橢圓方程組■非平凡弱解的存在性,其中Ω銰R~N是一邊界光滑的有界區(qū)域,Δ_pu=div(|%絬|~(p-2)%絬)是p-拉普拉斯算子,1pN,α1,β1,α+βpp(κ+1)rp~*(p~*=(pN)/(N-p)若Np,p~*=∞若N≤p),λ,μ0,h(x),g_1(x),g_2(x)∈C(Ω)在Ω上可變號,M(s)=a+bs~κ,a,b,k0.
[Abstract]:In this paper, the existence of nontrivial weak solutions for nonlocal quasilinear elliptic equations is studied by using Nehari manifold and fiber ring mapping method. Where 惟 ~ r ~ n is a bounded region with smooth boundary, and 螖 _ S _ pudivo (% ~ + N ~ -p) if N 鈮，

本文編號：1898595