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math.AP2009★ 21 cited
Local Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems
Guy Barles, Francesca Da Lio
In this article, we prove the local regularity and provide estimates for viscosity solutions of fully nonlinear, possibly degenerate, elliptic equations associa…
math.AP2009
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions
Guy Barles, Francesca Da Lio, Pierre-Louis Lions +1
We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in "singular problems"…