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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123588We 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.13 pages, 2 figuresAnalysis of PDEs35J60Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2Dtext