论文标题
通过迭代方法解决Yamabe问题
Solving Yamabe Problem by An Iterative Method
论文作者
论文摘要
我们介绍了一种迭代方案，以证明Yamabe问题$-Aδ_{G} U + S U =λu^{p -1} $，首先是在开放式域$（ω，g）的情况下使用DIRICHLET边界条件，然后在封闭的歧管上进行封闭的歧管$（M，G）$。这是一个新的证明，它解决了均匀论点中$ n \ geqslant 3 $的Yamabe问题，超出了传统的分析，就功能的最小化而言。
We introduce an iterative scheme to prove the Yamabe problem $ - aΔ_{g} u + S u = λu^{p-1} $, firstly on open domain $ (Ω, g) $ with Dirichlet boundary conditions, and then on closed manifolds $ (M, g) $ by local argument. It is a new proof, which solves the Yamabe problem for $ n \geqslant 3 $ in a uniform argument, beyonds the traditional analysis with respect to the minimization of functionals.
