源自人口动力学的半线性p-Laplace的Dirichlet问题解  

Solutions to Semilinear p-Laplacian Dirichlet Problem Arising in Population Dynamics

作　　者：R·A·玛氏耶弗 G·艾利索伊 S·奥格拉斯 

机构地区：[1]戴高大学数学系,迪亚巴克尔21280,土耳其 [2]伊诺努大学数学科学系,马拉蒂亚44280,土耳其

出　　处：《应用数学和力学》2010年第2期227-235,共9页Applied Mathematics and Mechanics

摘　　要：研究源自人口动力学的半线性p-Laplace方程的Dirichlet问题,得到了该问题在零点处的能量泛函是平凡的Morse临界群.因而,确定了该问题非平凡解的存在性及其分岔性.The semilinear p-Laplacian Dirichlet problem arising in population dynamics was studied. The Morse critical groups at zero of the energy function of the problem being trivial was obtained. As a consequence, existence and bifurcation of nontrivial solutions to the problem were established.

关 键 词：P-LAPLACE方程 符号变化的权函数 Morse临界群 

分 类 号：O152.1[理学—数学]