Methods of the Perturbation Theory for Fundamental Solutions to the Generalization of the Fractional Laplaciane

We study the regularity properties of the solutions to the fractional Laplacian equation with perturbations. The Harnack inequality of a weak solution u∈WspRl to the fractional Laplacian problem is established, and the oscillation of the solution to the fractional Laplacian is estimated. We show tha...

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Bibliographic Details
Main Author: Yaremenko, Mykola Ivanovich
Format: Book Chapter
Language:English
Published: IntechOpen 2023
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Online Access:https://www.intechopen.com/chapters/85796
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