7 citations · 7 across the 3 of their papers we have counts for
5 papers
Homogeneous Solutions to Fully Nonlinear Elliptic Equations
Nikolai Nadirashvili, Yu Yuan
We classify homogeneous degree solutions to fully nonlinear elliptic equations.
Global solutions to special Lagrangian equations
Yu Yuan
We show that any global solution to the special Lagrangian equations with the phase larger than a critical value must be quadratic.
Counterexamples for Local Isometric Embedding
Nikolai Nadirashvili, Yu Yuan
We construct smooth metrics on 2-manifold with nonpositive Gauss curvature which cannot be (C^3) locally isometrically embedded in R^3. Moreover, the Gauss curvature of the metric…
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.
Doubling properties for second order parabolic equations
Mikhail V. Safonov, Yu Yuan
We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the…