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arXiv · 2404.06372

Existence and uniqueness for cone degenerate p-Laplace equation

Hua Chen·Jiangtao Hu·Xiaochun Liu·Yawei Wei·Mengnan Zhang
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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 H\"older 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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Hua Chen, Jiangtao Hu, Xiaochun Liu, Yawei Wei, Mengnan Zhang. 2024-04-09. Existence and uniqueness for cone degenerate p-Laplace equation. https://arxiv.org/abs/2404.06372

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