Equation of the surface laplacian of the ellipse curvature

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how can i determine the equation of the surface Laplacian of an ellipse curvature? The ellipse has a=0.3 and b=0.2.

Thanking you in advance for your answer, Danae

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First note that you can use a linear transformation on the plane to transform the ellipse into a unit circle.

Try to determine how the laplacian changes under linear transformations.

Now try to obtain the laplacian induced on the unit circle which is a very simple as the laplacian on the unit circle can simply be defined ad $\frac{\partial^2}{\partial \theta^2}$ in polar coordinates.