一类奇异Kirchhoff分数边值问题解的存在性

IF 0.2 Q4 MATHEMATICS

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-06-01 DOI:10.21915/bimas.2022203

A. Ghanmi

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引用次数: 0

摘要

本文研究一类具有Riemann-Liouville分数阶导数的Kirchhoff型非线性奇异p -分数阶问题的多重解的存在性问题。准确地说，我们采用Nehari流形的方法结合纤维映射的分析，以证明至少存在两个非平凡弱解。

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Existence of solution for some singular Kirchhoff fractional boundary value problem

In this work, we investigate the question of the existence of multiple solutions for some nonlinear singular p -fractional problem with Riemann-Liouville fractional derivative and of Kirchhoﬀ type. Precisely, we employ the method of the Nehari manifold combined with the analysis of the ﬁbering map in order to show the existence of at least two nontrivial weak solutions.

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来源期刊

Bulletin of the Institute of Mathematics Academia Sinica New Series MATHEMATICS-

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50.00%

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