arXiv Analytics

Sign in

arXiv:1201.1022 [math.AP]AbstractReferencesReviewsResources

Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions

Nikolai Nadirashvili, Serge Vladuts

Published 2012-01-04Version 1

We prove that there is no nontrivial homogeneous order 2 solutions of fully nonlinear uniformly elliptic equations in dimension 4.

Related articles: Most relevant | Search more
arXiv:0912.3119 [math.AP] (Published 2009-12-16)
Nonclassical Solutions of Fully Nonlinear Elliptic Equations
arXiv:0912.3126 [math.AP] (Published 2009-12-16, updated 2010-03-21)
Nonclassical Solutions of Fully Nonlinear Elliptic Equations II. Hessian Equations and Octonions
arXiv:1603.08559 [math.AP] (Published 2016-03-28)
On the existence of $W^{2}_{p}$ solutions for fully nonlinear elliptic equations under either relaxed or no convexity assumptions