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arxiv: 1201.1022 · v1 · pith:JQCKEWKEnew · submitted 2012-01-04 · 🧮 math.AP · math.DG

Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions

Nikolai Nadirashvili , Serge Vladuts This is my paper
classification 🧮 math.AP math.DG
keywords ellipticequationsfullyhomogeneousnonlinearsolutionsdimensiondimensions
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We prove that there is no nontrivial homogeneous order 2 solutions of fully nonlinear uniformly elliptic equations in dimension 4.

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