Non-polynomial entire solutions to σ_k equations

2015/03/23 by Warren, Micah
#35J60 #53C38 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.06843

Abstract

For 2k ≤ n+1, we exhibit non-polynomial solutions to the Hessian equation σ_k(D²u)=1 on all of ℝⁿ.

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