Blow up behavior of minimizers for a fractional p-Laplace problem with external potentials and mass critical nonlinearity

Blow up behavior of minimizers for a fractional p-Laplace problem with external potentials and mass critical nonlinearity

In this paper, we studied the fractional $ p $-Laplace problem with a general potential and a mass-critical nonlinearity. By using constrained variational methods, we established the existence and nonexistence of minimizers for this problem. Moreover, we investigated the blow-up behaviour of non-neg...

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Bibliographic Details
Main Authors: Xinyue Zhang, Haibo Chen, Jie Yang
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
fractional $ p $-laplacian
mass critical
minimizers
blow up
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025166
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https://www.aimspress.com/article/doi/10.3934/math.2025166

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