偏差变元的二阶n-维p-Laplacian方程调和解的存在性  

The Existence of Harmonic Solutions for Second Order n-Dimensional p-Laplacian Equations with a Deviating Argument

作　　者：张建军[1] 刘文斌[1] 张慧星[1] 倪晋波[1] 

机构地区：[1]中国矿业大学理学院,徐州221008

出　　处：《数学学报（中文版）》2007年第5期1161-1170,共10页Acta Mathematica Sinica：Chinese Series

基　　金：中国矿业大学青年科研基金(2006A042;2005A041)

摘　　要：本文研究了一类具偏差变元的二阶n-维p-Laplacian方程调和解的存在性,在对阻尼项不作限制的前提下,利用拓扑度理论得到了存在调和解的新条件,改进了一些已有的结果.In this paper, the existence of harmonic solutions for second order n- Dimensional p-Laplacian equations with a deviating argument is studied by using the topological degree theory. Sufficient conditions to guarantee the existence of harmonic solutions for the equation are obtained under having no restriction on the damping forces and some known results are improved.

关 键 词：p-Laplaucian方程 调和解 拓扑度 

分 类 号：O175.6[理学—数学]