Multiple positive solutions to the fractional Kirchhoff-type problems involving sign-changing weight functions

Multiple positive solutions to the fractional Kirchhoff-type problems involving sign-changing weight functions

<p>This paper was concerned with the following Kirchhoff type equation involving the fractional Laplace operator $ (-\Delta)^{s} $</p> <p class="disp_formula">$ \begin{cases} \left(1+\alpha\int_{\mathbb{R}^{3}}|(-\Delta)^{\frac{s}{2}}u|^{2}dx\right)(-\Delta)^{s} u+\...

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Bibliographic Details
Main Authors: Jie Yang, Lintao Liu, Haibo Chen
Format: Article
Language:English
Published: AIMS Press 2024-02-01
Series:AIMS Mathematics
Subjects:
fractional laplace operator
kirchhoff type problems
sign-changing
nehari manifold
variational methods
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024406?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024406?viewType=HTML

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