arXiv (Cornell University) · 2011 · 24 citations · 12 references
Natural SciencesMathematicsDifferential EquationsOptimizationPartial Differential EquationsVariational FormulationHessian ApproximationIsoparametric Formulation
We show how to construct a non-smooth solution to Hessian fully nonlinear\nsecond-order uniformly elliptic equation using the Cartan isoparametric cubic\nin 5 dimensions.\n
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Complete Minimal Surfaces in S 3
H. Blaine Lawson · Annals of Mathematics · 1970 · 679 citations
On the Dirichlet problem for Hessian equations
Neil S. Trudinger · Acta Mathematica · 1995 · 352 citations · Full text