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Bibliographic Details
Main Authors:	Chen, Hua, Hu, Jiangtao, Liu, Xiaochun, Wei, Yawei, Zhang, Mengnan
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2404.06372
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Table of Contents:

In this paper, we study the cone degenerate p-Laplace equation. We provide the existence of the viscosity solutions by proving Alexandrov-Bakelman-Pucci and Hölder estimates. Further more, we give the comparison principle by an equivalent transformation. Finally, we obtain the existence of weak solutions by analyzing the relationship between weak solutions and viscosity solutions.