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Article Dans Une Revue Journal of Differential Equations Année : 2006

Local $C^{0,\alpha}$ Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems

Résumé

In this article, we prove the local $C^{0,\alpha}$ regularity and provide $C^{0,\alpha}$ estimates for viscosity solutions of fully nonlinear, possibly degenerate, elliptic equations associated to linear or nonlinear Neumann type boundary conditions. The interest of these results comes from the fact that they are indeed regularity results (and not only a priori estimates), from the generality of the equations and boundary conditions we are able to handle and the possible degeneracy of the equations we are able to take in account in the case of linear boundary conditions.
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Dates et versions

hal-00426355 , version 1 (25-10-2009)

Identifiants

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Guy Barles, Francesca da Lio. Local $C^{0,\alpha}$ Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems. Journal of Differential Equations, 2006, 225 (1), pp.202 -- 241. ⟨10.1016/j.jde.2005.09.004⟩. ⟨hal-00426355⟩
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