论文标题
对欧几里得域上$σ_K$ -Yamabe方程的强解决方案的强方程的本地端点第二导数估计值
Local pointwise second derivative estimates for strong solutions to the $σ_k$-Yamabe equation on Euclidean domains
论文作者
论文摘要
我们证明了对欧几里得域上$σ_K$ -Yamabe方程的正$ W^{2，P} $解决方案的局部第二个衍生物估计，以解决正案例和负面情况。还考虑了增强Hessian方程的概括。
We prove local pointwise second derivative estimates for positive $W^{2,p}$ solutions to the $σ_k$-Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.
