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arXiv · 2310.06325

Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator

Jiabin Zuo·Juliana Honda Lopes·Vicentiu D. Rădulescu
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Abstract

We consider a Kirchhoff-type diffusion problem driven by the magnetic fractional Laplace operator. The main result in this paper establishes that infinite time blow-up cannot occur for the problem. The proof is based on the potential well method, in relationship with energy and Nehari functionals.

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Jiabin Zuo, Juliana Honda Lopes, Vicentiu D. Rădulescu. 2023-10-10. Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator. https://doi.org/10.1016/j.aml.2023.108977

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