论文标题

Moser-Bernstein类型问题的新示例,用于在几何形状中产生的某些非线性椭圆形偏微分方程

New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry

论文作者

Romero, Alfonso, Rubio, Rafael M., Salamanca, Juan J.

论文摘要

考虑了一个非线性偏微分方程的家族差异形式。每一个都是自然的Riemaniann变异问题的Euler-Lagrange方程。给出了这些方程的整个解决方案的新独特结果,给出了任意维度的抛物线式Riemaniann多种。特别是,证明了几种Moser-Bernstein型定理。

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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