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19992005
most citedCounterexamples for Local Isometric Embedding

7 citations · 7 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.AP2005

Homogeneous Solutions to Fully Nonlinear Elliptic Equations

Nikolai Nadirashvili, Yu Yuan

We classify homogeneous degree solutions to fully nonlinear elliptic equations.

math.AP2005

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.

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.

math.AP1999

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…