Existence and Nonexistence of Weak Positive Solution for a Class of p-Laplacian Systems  

作　　者：AKROUT Kamelz GUEFAIFIA Rafik 

机构地区：[1]LAMIS Laboratory, Tebessa University, Tebessa, Algeria [2]LANOS Laboratory, Badji Mokhtar lfniversity,Annaba, Algeria.

出　　处：《Journal of Partial Differential Equations》2014年第2期158-165,共8页偏微分方程（英文版）

摘　　要：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.

关 键 词：Positive solutions sub-supersolutions elliptic systems. 

分 类 号：O175.25[理学—数学] O175.12[理学—基础数学]