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该文主要利用集中列紧原理的框架,研究P阶LAPLACE方程特征值问题的分岐情况.该文的结论表明,对于P阶LAPLACE方程－DIV(｜DU｜P－2DU)+λUP－1＝G(X,T)分歧现象的产生依赖于G(X,T)在T＝0附近的性质“,”This paper mainly discusses the bifurcation problem of P_Laplace equations using the concentration_compactness principle which was proposed by Lions. The result of the paper indicates that the occurrence of the bifurcation problem depends only on the properties of function g(x,t) in the vicinity of t =0.