List questions from laplacian

Published on 26 Mar 2026 - 6:21

52

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Laplacian of $|x|^\alpha$

Published on 08 Jun 2020 - 14:08

147

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Partial differential equation with laplacian.

Published on 26 Mar 2026 - 1:27

382

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Why does the Laplace's equation imply linearity?

Published on 17 Jun 2020 - 18:03

181

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How to show $\Delta f(r) = f''(r) + \frac{2}{r} f'(r)$?

Published on 27 Mar 2026 - 1:47

130

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Is it true that $\int_{\Omega}|\nabla u|^{2}dx = -\int_{\Omega}u\Delta udx$?

Published on 23 Jun 2020 - 4:52

186

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Physical Interpretation of degenerate Laplacian

Published on 25 Mar 2026 - 13:13

127

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Can I find an inverse Laplace operator?

Published on 25 Jun 2020 - 9:56

19k

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Laplacian of spherical coordinates

Published on 27 Mar 2026 - 7:14

118

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Taking second partial derivative of spherically symmetrical wavefunction $\psi(r)$ with respect to $x$ only

Published on 27 Mar 2026 - 7:13

176

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Deriving form of differential wave equation from $\nabla^2 \psi = \frac{1}{r} \frac{\partial^2}{\partial{r}^2}(r \psi)$

Published on 27 Mar 2026 - 8:46

59

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Counter-example to $\nabla^2 f =0 \implies \nabla \times \nabla f =\vec 0$?

Published on 28 Jun 2020 - 10:58

582

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Helmholtz-Dirichlet Green's Function for unit ball - Explicit formula?

Published on 25 Mar 2026 - 6:00

1k

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Deriving the Laplacian in spherical coordinates by concatenation of divergence and gradient.

Published on 27 Mar 2026 - 8:42

102

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Show an identity for the Laplace-Beltrami operator

Published on 26 Mar 2026 - 3:11

List Question

If $\Delta \varphi =0$ then $\nabla \times \nabla \varphi =0$.

Laplacian of $|x|^\alpha$

Partial differential equation with laplacian.

Why does the Laplace's equation imply linearity?

How to show $\Delta f(r) = f''(r) + \frac{2}{r} f'(r)$?

Is it true that $\int_{\Omega}|\nabla u|^{2}dx = -\int_{\Omega}u\Delta udx$?

Physical Interpretation of degenerate Laplacian

Can I find an inverse Laplace operator?

Laplacian of spherical coordinates

Taking second partial derivative of spherically symmetrical wavefunction $\psi(r)$ with respect to $x$ only

Deriving form of differential wave equation from $\nabla^2 \psi = \frac{1}{r} \frac{\partial^2}{\partial{r}^2}(r \psi)$

Counter-example to $\nabla^2 f =0 \implies \nabla \times \nabla f =\vec 0$?

Helmholtz-Dirichlet Green's Function for unit ball - Explicit formula?

Deriving the Laplacian in spherical coordinates by concatenation of divergence and gradient.

Show an identity for the Laplace-Beltrami operator

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