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Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D

D. De Silva·O. Savin
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Abstract

We prove that entire bounded monotone solutions to a certain class of fully nonlinear equations in 2D are one-dimensional. Our result also gives a new (non-variational) proof of the well known De Giorgi's conjecture.

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D. De Silva, O. Savin. 2007-02-08. Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D. https://arxiv.org/abs/math/0702231

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