English

Non-classical Solution to Hessian Equation from Cartan Isoparametric Cubic

Analysis of PDEs 2018-02-06 v1 Differential Geometry

Abstract

We show how to construct a non-smooth solution to Hessian fully nonlinear second-order uniformly elliptic equation using the Cartan isoparametric cubic in 5 dimensions.

Keywords

Cite

@article{arxiv.1111.0329,
  title  = {Non-classical Solution to Hessian Equation from Cartan Isoparametric Cubic},
  author = {Nikolai Nadirashvili and Vladimir Tkachev and Serge Vladuts},
  journal= {arXiv preprint arXiv:1111.0329},
  year   = {2018}
}

Comments

11 pages