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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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About an estimate of an oblique derivative problem of Laplace's equation

Suppose $n\geq 2$, set $B=B_r(0)\subset \mathbb{R}^n$, $B^+=\{x\in B|x_n>0\}$, $H=\{x\in B|x_n=0\}$, Let $u\in C^\infty(B^+)\cap C^1(B^+\cup H)$ be a solution of the following oblique derivative prob …