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

Mathematics – Analysis of PDEs

Scientific paper

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13 pages, 2 figures

Scientific paper

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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