On local solvability of nonlinear elliptic partial differential systems of principle type: the second order

Yifei Pan

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arXiv · 1206.3757

On local solvability of nonlinear elliptic partial differential systems of principle type: the second order

Yifei Pan

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Abstract

We prove results on solvability of nonlinear elliptic partial differential systems of principle type of second order. They are consequences of existence of non-radial solutions for nonlinear partial differential systems of Poisson type. As applications to geometry, we prove the exsitence of local harmonic maps with given tangent plane at a point between any Riemannan manifolds. More generally geometric objects defined by Beltrami-Laplace always exist locally.

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Yifei Pan. 2013-06-29. On local solvability of nonlinear elliptic partial differential systems of principle type: the second order. https://arxiv.org/abs/1206.3757

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