Solvability of the resonant 1-dimensional periodic p-Laplacian equations

Solvability of the resonant 1-dimensional periodic p-Laplacian equations
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共振一维周期 p-拉普拉斯方程的可解性

DOI:
10.1016/j.jmaa.2010.04.070
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发表时间:
2010
影响因子:
1.3
通讯作者:
Yong Wang
Yong Wang
中科院分区:
数学3区
文献类型:
--
作者:
M. Jiang;Yong Wang

文献摘要

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本文研究p>1的2π周期解的存在性,λ是相应齐次方程的特征值,f是2π周期函数。通过莫尔斯理论证明了一些存在性结果。
In this paper we study the existence of 2π-periodic solutions of where p>1, λ is an eigenvalue of the corresponding homogeneous equation, f is a 2π-periodic function. Some existence results are proved via the Morse theory.