The Second Order Estimate for Fully Nonlinear Uniformly Elliptic Equations without Concavity Assumption

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dc.creatorDong, G. C.
dc.creatorBian, B. J.
dc.creatorGuan, Z. C.
dc.date2005-06-24
dc.date.accessioned2026-07-07T05:21:07Z
dc.date.available2026-07-07T05:21:07Z
dc.descriptionInvestigating for interior regularity of viscosity solutions to the fully nonlinear elliptic equation $$F(x,u,\triangledown u,\triangledown ^2 u)=0,$$ we establish the interior $C^{1+1}$ continuity under the assumptions that $F$ is uniformly elliptic, H$\ddot o$lder continuous and satisfies the natural structure conditions of fractional order, but without the concavity assumption of $F$. These assumptions are weaker and the result is stronger than that of Caffarelli and Wang[1], Chen[2].
dc.description25pages
dc.identifierhttps://arxiv.org/abs/math/0506494
dc.identifierhttp://arxiv.org/abs/math/0506494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75575
dc.subjectAnalysis of PDEs
dc.subject35j25
dc.titleThe Second Order Estimate for Fully Nonlinear Uniformly Elliptic Equations without Concavity Assumption
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