Anisotropic 𝑝-Laplacian Evolution of Fast Diffusion Type

We study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive sharp L1L^{1}-L∞L^{\infty} estimates. We prove the existence of a self-simila...

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Bibliographic Details
Main Authors: Feo Filomena, Vázquez Juan Luis, Volzone Bruno
Format: Article
Language:English
Published: De Gruyter 2021-08-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2021-2136