Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D
classification
🧮 math.AP
keywords
classequationsfullynonlinearsolutionsboundedcertainconjecture
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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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