Existence, uniqueness, and localization of positive solutions to nonlocal problems of the Kirchhoff type via the global minimum principle of Ricceri

Existence, uniqueness, and localization of positive solutions to nonlocal problems of the Kirchhoff type via the global minimum principle of Ricceri

The purpose of this paper is to demonstrate the existence and uniqueness of positive solutions to fractional $ p $-Laplacian problems with discontinuous Kirchhoff-type functions. The crucial tools for getting these results are the uniqueness result of the Brézis–Oswald–type problem and the abstract...

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Bibliographic Details
Main Authors: In Hyoun Kim, Yun-Ho Kim
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
fractional $ p $-laplacian
kirchhoff-type function
weak solution
uniqueness
global minima
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025210
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