@article{Zhang2025, 
author = {Xinyue Zhang and Haibo Chen and Jie Yang},
title = {Blow up behavior of minimizers for a fractional p-Laplace problem with external potentials and mass critical nonlinearity},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {3597-3622},
keywords = {fractional p-Laplacian, mass critical, minimizers, blow up},
url = {https://www.sciopen.com/article/10.3934/math.2025166},
doi = {10.3934/math.2025166},
abstract = {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-negative minimizers to the above equation. Finally, under a polynomial-type potential, we obtained the optimal rate of blow-up through some subtle energy estimates.}
}