In this work, we are interested to obtain some result of existence and nonex- istence of positive weak solution for the following p-Laplacian system {-△piui=λifi（u1,^…,um）,inΩ, i=1,...,m, ui=0,on δΩ,Vi=1,…,...In this work, we are interested to obtain some result of existence and nonex- istence of positive weak solution for the following p-Laplacian system {-△piui=λifi（u1,^…,um）,inΩ, i=1,...,m, ui=0,on δΩ,Vi=1,…,m,where △piz = div（｜△z｜^pi-2△Z）, Pi ≥ 1,λi,1 ≤ i ≤ m are a positive parameter, and Ω is a bounded domain in IR^N with smooth boundary δΩ. The proof of the main results is based to the method of sub-supersolutions.展开更多
文摘In this work, we are interested to obtain some result of existence and nonex- istence of positive weak solution for the following p-Laplacian system {-△piui=λifi（u1,^…,um）,inΩ, i=1,...,m, ui=0,on δΩ,Vi=1,…,m,where △piz = div（｜△z｜^pi-2△Z）, Pi ≥ 1,λi,1 ≤ i ≤ m are a positive parameter, and Ω is a bounded domain in IR^N with smooth boundary δΩ. The proof of the main results is based to the method of sub-supersolutions.
