On local solvability of nonlinear elliptic partial differential systems of principle type: the second order
Analysis of PDEs
2013-07-02 v3
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.
Keywords
Cite
@article{arxiv.1206.3757,
title = {On local solvability of nonlinear elliptic partial differential systems of principle type: the second order},
author = {Yifei Pan},
journal= {arXiv preprint arXiv:1206.3757},
year = {2013}
}