Symmetry Results for classical solutions of Monge-Ampere system in the plane

Details Symmetry Results for classical solutions of Monge-Ampere system in the plane Symmetry Results for classical solutions of Monge-Ampere system in the plane

2009-08-11

arxiv.org/abs/0908.1428v3

Mathematics

Differential Geometry

9 pages

Scientific paper

In this paper, by the method of moving planes, we prove the symmetry result
which says that classical solutions of Monge-Ampere system in the whole plane
are symmetric about some point. Our system under consideration comes from the
differential geometry problem.

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