Symmetry of Global Solutions to a Class of Fully Nonlinear Elliptic Equations in 2d D. De Silva and O. Savin
نویسنده
چکیده
We prove that entire bounded monotone solutions to fully nonlinear equations in R of the form F (Du) = f(u) are one-dimensional, under appropriate compatibility conditions for F and f. In the particular case when F = ∆ and f(u) = u − u, our result gives a new (non-variational) proof of the well known De Giorgi’s conjecture.
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تاریخ انتشار 2007