Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840081 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 6 Pages |
Abstract
We prove that an infinity harmonic function u(x)∈C(Ω̄) is differentiable at a boundary point x0∈∂Ωx0∈∂Ω if both ∂Ω∂Ω and the boundary data g(x)g(x) are differentiable at x0x0. This work improved a former result of Changyou Wang and Yifeng Yu (2012) [10]. They obtained the boundary differentiability of u(x)u(x) with the C1C1 assumption on ∂Ω∂Ω and g(x)g(x).
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Authors
Guanghao Hong,