AI 中文总结
该研究针对p≥2的分数阶p-泊松方程，证明了其弱解的内部C^{1,α}估计，给出了对应L^q右端项与γ-Hölder连续右端项的最优参数范围。
AI 中文摘要
我们证明分数阶p-泊松方程（p≥2）弱解的内部C^{1,α}估计：当右端项属于L^q时，若p<(1-d/q)/(1-s)则成立；当右端项为γ-Hölder连续时，若p<(1+γ)/(1-s)则成立，且两类参数范围均为最优。
英文摘要
We prove interior $C^{1,α}$ estimates for weak solutions of the fractional $p$-Poisson equation, with $p\geq2$. For right-hand sides in $L^q$, we obtain the estimate when $p<(1-d/q)/(1-s)$. For $γ$-Hölder continuous right-hand sides, the range is $p<(1+γ)/(1-s)$. Both ranges of parameters are optimal.
Comments11 pages
