一类带脉冲效应的$p$-Laplacian分数边值问题的无穷多解

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI:10.5269/bspm.47913

M. Abolghasemi, S. Moradi

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摘要

在Neumann条件下，建立了一类具有$p$-Laplacian算子的脉冲分数边值问题的无穷多解的存在性。我们的方法是基于最近定义在自反Banach空间上的光滑泛函的变分方法。给出了一个例子来证明我们的主要结果的应用。

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Infinitely many solutions for a class of fractional boundary value problem with $p$-Laplacian with impulsive effects

The existence of infinitely many solutions for a class of impulsive fractional boundary value problems with $p$-Laplacian with Neumann conditions is established. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces. One example is presented to demonstrate the application of our main results.

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