On a constant rank theorem for nonlinear elliptic PDEs

Gábor Székelyhidi; Ben Weinkove

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arXiv · 1509.07168

On a constant rank theorem for nonlinear elliptic PDEs

Gábor Székelyhidi·Ben Weinkove

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Abstract

We give a new proof of Bian-Guan's constant rank theorem for nonlinear elliptic equations. Our approach is to use a linear expression of the eigenvalues of the Hessian instead of quotients of elementary symmetric functions.

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Gábor Székelyhidi, Ben Weinkove. 2016-09-05. On a constant rank theorem for nonlinear elliptic PDEs. https://arxiv.org/abs/1509.07168

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