几何中某些nonlinear elliptic偏微分方程的Moser-Bernstein型问题的新例子
New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
摘要：
考虑一类散度型非线性偏微分方程。每一个是欧拉-拉格朗日方程的自然黎曼变分问题的几何兴趣。在任意维数的抛物Riemaniann流形上给出了这些方程整体解的唯一性结果。特别地，证明了几个Moser-Bernstein型定理。
英文摘要：
A family of nonlinear partial differential equations of divergence form is considered. Each one is the Euler-Lagrange equation of a natural Riemaniann variational problem of geometric interest. New uniqueness results for the entire solutions of these equations on a parabolic Riemaniann manifold of arbitrary dimension are given. In particular, several Moser-Bernstein type theorems are proved.
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