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局部超线性常微分p-Laplacian系统的多重周期解
引用本文:张申贵. 局部超线性常微分p-Laplacian系统的多重周期解[J]. 江西师范大学学报(自然科学版), 2013, 0(3): 240-243
作者姓名:张申贵
作者单位:西北民族大学数学与计算机科学学院,甘肃兰州,730030
基金项目:国家自然科学基金(31260098);中央高校基本科研业务费专项(31920130004);西北民族大学中青年科研(12XB38)资助项目
摘    要:
利用临界点理论研究常微分p-Laplacian方程周期解的存在性,在比Ambrosetti-Rabinowitz条件更弱的超线性条件下,得到了多重周期解存在的充分条件.

关 键 词:常微分p-Laplacian系统  局部超线性  临界点

Multiplicity of Periodic Solutions for Ordinary p-Laplacian Systems with Local Superlinear Nonlinearity
ZHANG Shen-gui. Multiplicity of Periodic Solutions for Ordinary p-Laplacian Systems with Local Superlinear Nonlinearity[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2013, 0(3): 240-243
Authors:ZHANG Shen-gui
Affiliation:ZHANG Shen-gui(College of Mathematics and Computer Science,Northwest University for Nationalities,Gansu Lanzhou 730030,China)
Abstract:
The existence of infinitely many solutions for ordinary p-Laplacian systems is studied by critical point theory.Under a condition weaker than Ambrosetti-Rabinowitz's superlinear condition,some sufficient conditions for the existence of infinitely many solutions are obtained.
Keywords:ordinary p-Laplacian systems  local superlinear  critical point
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