Games for eigenvalues of the Hessian and concave/convex envelopes

We study the PDE λj(D2u)=0, in Ω, with u=g, on ∂Ω. Here λ1(D2u)≤…≤λN(D2u) are the ordered eigenvalues of the Hessian D2u. First, we show a geometric interpretation of the viscosity solutions to the problem in terms of convex/concave envelopes over affine spaces of dimension j. In one of our main res...

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Publicado: 2018
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00217824_v_n_p_Blanc
http://hdl.handle.net/20.500.12110/paper_00217824_v_n_p_Blanc
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