论文标题
锯齿蛋白型的哈森商方程的过度确定问题
Serrin-type overdetermined problems for Hessian quotient equations
论文作者
论文摘要
我们证明了针对一类完全非线性方程的过度确定问题的对称性，即Hessian商方程和Hessian商曲率方程。我们的方法基于建立Hessian商方程和使用P函数的Rellich-Pohozaev类型标识。我们的结果概括了K-Hessian方程和K形式方程的过度确定问题。
We prove the symmetry of solutions to overdetermined problems for a class of fully nonlinear equations, namely Hessian quotient equations and Hessian quotient curvature equations. Our approach is based on establishing a Rellich-Pohozaev type identity for Hessian quotient equations and using a P function. Our result generalizes the overdetermined problems for k-Hessian equations and k-curvature equations.
