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Results tagged with elliptic-pde
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user 136719
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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Curvature of the boundary vs. normal derivative of the first eigenfunction
You use a local system of coordinates with $x$-axis tangent to the boundary and $y$ along the normal vector; let $y=y(x)$ the equation of the curve, so
$u(x,y(x))=0$ ($u=\phi_1$). Differentiating this …
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