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Bibliographic Details
Main Authors: Miao, Changxing, Zhao, Zhiwen
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2210.10006
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Table of Contents:
  • The main purpose of this paper is to capture the asymptotic behavior for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions near the degenerate or singular point, especially covering the weighted $p$-Laplace equations and weighted fast diffusion equations. As a consequence, we also establish the local Hölder estimates for their solutions in the presence of single power-type weights.