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A non-classical solution to a Hessian equation from Cartan isoparametric cubic
Centre de Mathématiques et Informatique.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-8422-6140
Institut de Mathématiques de Luminy .
2012 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 231, no 3, 1589-1597 p.Article in journal (Refereed) Published
Abstract [en]

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

Place, publisher, year, edition, pages
Elsevier, 2012. Vol. 231, no 3, 1589-1597 p.
Keyword [en]
Non-linear elliptic equation; Weak solutions; Isoparametric surfaces
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-79643DOI: 10.1016/j.aim.2012.07.005ISI: 000308783400016OAI: oai:DiVA.org:liu-79643DiVA: diva2:543975
Available from: 2012-08-27 Created: 2012-08-13 Last updated: 2017-12-07Bibliographically approved

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Tkachev, Vladimir
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