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Results tagged with elliptic-pde
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user 50534
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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answer
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Gradient elliptic estimate
Consider the half space $\Omega=\{x=(x_1,...,x_N)\in\mathbb{R}^N:x_N>0\}$. Let $u\in C^2(\Omega)\cap C(\overline{\Omega})$ a positive bounded solution of
$$
\begin{eqnarray*}
\Delta u+f(x_N,u)=0, & \m …
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