Radial symmetry and nonexistence of positive solution for tempered mixed fractional p-Laplacian equations

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发表日期：

2026年2月27日

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Wenwen Hou,
Lihong Zhang

摘要

In this paper, a tempered mixed fractional p-Laplacian equation is considered in different regions. By introducing a tempered mixed fractional p-Laplacian operator, we first establish Narrow region principle, which plays a crucial role in the later process. Then we obtain radial symmetry and nonexistence results by using the direct method of moving planes under the circumstance of $\mathbb {B}_{1}^{n}(0)\times \mathbb {B}_{1}^{m}(0)$ $B_{1}^{n} (0) \times B_{1}^{m} (0)$ and $\mathbb {R}_{+}^{n}\times \mathbb {R}_{+}^{m}$ $R_{+}^{n} \times R_{+}^{m}$ , respectively.