Existence and uniqueness for cone degenerate p-Laplace equation
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866914942547918848 |
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| author | Chen, Hua Hu, Jiangtao Liu, Xiaochun Wei, Yawei Zhang, Mengnan |
| author_facet | Chen, Hua Hu, Jiangtao Liu, Xiaochun Wei, Yawei Zhang, Mengnan |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence and uniqueness for cone degenerate p-Laplace equation Chen, Hua Hu, Jiangtao Liu, Xiaochun Wei, Yawei Zhang, Mengnan Analysis of PDEs 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. |
| title | Existence and uniqueness for cone degenerate p-Laplace equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.06372 |