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OALib Journal期刊
ISSN: 2333-9721
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-  2013 

局部超线性常微分p-Laplacian系统的多重周期解
Multiplicity of Periodic Solutions for Ordinary p-Laplacian Systems with Local Superlinear Nonlinearity

Keywords: 常微分p-Laplacian系统,局部超线性,临界点
常微分p-Laplacian系统 局部超线性 临界点
,常微分p-Laplacian系统 局部超线性 临界点,常微分p-Laplacian系统 局部超线性 临界点

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Abstract:

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.
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

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