Existence and uniqueness for cone degenerate p-Laplace equation

2024/04/09 by Chen, Hua, Hu, Jiangtao, Liu, Xiaochun +2
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.06372

Abstract

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.

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