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Multiplicity theorems for scalar periodic problems at resonance with p-Laplacian-like operator

机译:类p-Laplacian算子共振时标量周期问题的多重性定理

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摘要

In this paper, we study the existence of multiple solutions for nonlinear scalar periodic problems at resonance with p-Laplacian-like operator. Using the Ekeland variational principle a two-solution theorem is obtained and using also a local linking theorem a three-solution theorem is proved.
机译:在本文中,我们研究了类似p-Laplacian算子的非线性标量周期问题多重解的存在性。利用Ekeland变分原理,得到了一个二解定理,并且还使用了局部链接定理,证明了一个三解定理。

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