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Interior C<sup>2,a</sup> regularity theory for a class of nonconvex fully nonlinear elliptic equations
dc.contributor.author | Cabré Vilagut, Xavier |
dc.contributor.author | Caffarelli, Luis A. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-11T16:36:47Z |
dc.date.available | 2007-05-11T16:36:47Z |
dc.date.created | 2001 |
dc.date.issued | 2001 |
dc.identifier.citation | J. Math. Pures Appl. 82 (2003) 573–612 |
dc.identifier.uri | http://hdl.handle.net/2117/977 |
dc.description.abstract | We prove the interior C2,α regularity of solutions for some nonconvex fully nonlinear elliptic equations F(D2u, x) = f (x), x ∈ B1 ⊂ Rn. Our hypothesis is that, for every x ∈ B1, F(·,x) is the minimum of a concave operator and a convex operator of D2u. This extends the Evans–Krylov theory for convex equations to some nonconvex operators of Isaacs type. For instance, our results apply to the 3-operator equation F3(D2u) = min{L1u,max{L2u,L3u}} = 0 (here Li are linear operators), which motivated the present work. 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved. |
dc.format.extent | 38 |
dc.language.iso | eng |
dc.subject.lcsh | Partial differential equations |
dc.subject.other | Nonconvex fully nonlinear elliptic equations |
dc.subject.other | Isaacs operators |
dc.subject.other | Regularity theory |
dc.title | Interior C<sup>2,a</sup> regularity theory for a class of nonconvex fully nonlinear elliptic equations |
dc.type | Article |
dc.subject.lemac | Equacions en derivades parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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