论文标题
共形几何形状中完全非线性的，退化的椭圆边界价值问题的非唯一性
Nonuniqueness for a fully nonlinear, degenerate elliptic boundary value problem in conformal geometry
论文作者
论文摘要
我们研究了与边界形成歧管的共形问题，以使内部和恒定的H4-曲率在边界上消失。我们证明，使用案例，莫雷拉和王证明的分叉结果有几何不同的解决方案。令人惊讶的是，我们通过球体和双曲空间的产品的构造仅适用于一组有限的尺寸。
We study the problem of conformally deforming a manifold with boundary to have vanishing σ4-curvature in the interior and constant H4- curvature on the boundary. We prove that there are geometrically distinct solutions using bifurcation results proven by Case, Moreira and Wang. Surprisingly, our construction via products of a sphere and hyperbolic space only works for a finite set of dimensions.
