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math.AP2005
Homogeneous Solutions to Fully Nonlinear Elliptic Equations
Nikolai Nadirashvili, Yu Yuan
We classify homogeneous degree solutions to fully nonlinear elliptic equations.
math.AP2002
Linearity of homogeneous order one solutions to elliptic equations in dimension three
Qing Han, Nikolai Nadirashvili, Yu Yuan
We prove that any homogeneous order one solution to 3-d nondivergence elliptic equations must be linear.