List questions from laplacian

Published on 28 Mar 2021 - 14:30

392

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How do derivatives w/r to polar variables behave at the origin?

Published on 31 Mar 2021 - 4:54

104

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Cheeger constant of a ball in $\mathbb{R}^3$

Published on 31 Mar 2021 - 14:43

38

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Bilaplacian equals Dirac distribution

Published on 01 Apr 2021 - 13:42

288

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Is this a "contravariant derivative"? (tensor Laplacian)

Published on 27 Mar 2026 - 23:31

44

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Does first eigenfunction of Laplacian with mixed Dirichlet-Neumann condition attains maxima only on the Neumann boundary?

Published on 27 Mar 2026 - 22:55

1.9k

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Intuition of the connection between the graph Laplacian and the Laplace operator

Published on 04 Apr 2021 - 21:47

291

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Weyl's law for eigenvalues

Published on 08 Apr 2021 - 18:57

136

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compute laplacian of x/|x|

Published on 08 Apr 2021 - 19:35

24

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Question regarding calculation of laplacian

Published on 10 Apr 2021 - 5:09

596

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Show that $H(x):=\frac{1}{|x|^{n-2}}u(\frac{x}{|x|^2})$ is harmonic if $u$ is harmonic

Published on 11 Apr 2021 - 23:05

130

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Prove that $\nabla \times (\nabla \times \vec A) = \nabla(\nabla \cdot \vec A) - \nabla^2\vec A$. For any vector function of $\vec A$.

Published on 30 Mar 2026 - 11:58

67

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Solve the mixed value problem for $1$-D wave equation

Published on 19 Apr 2021 - 17:30

97

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Complex interpolation of spaces defined by operator with bounded imaginary powers

Published on 25 Mar 2026 - 13:53

658

Views

Mean curvature equals to the Laplacian of the position vector?

Published on 29 Mar 2026 - 17:27

List Question

Distribution identity involving Dirac delta

How do derivatives w/r to polar variables behave at the origin?

Cheeger constant of a ball in $\mathbb{R}^3$

Bilaplacian equals Dirac distribution

Is this a "contravariant derivative"? (tensor Laplacian)

Does first eigenfunction of Laplacian with mixed Dirichlet-Neumann condition attains maxima only on the Neumann boundary?

Intuition of the connection between the graph Laplacian and the Laplace operator

Weyl's law for eigenvalues

compute laplacian of x/|x|

Question regarding calculation of laplacian

Show that $H(x):=\frac{1}{|x|^{n-2}}u(\frac{x}{|x|^2})$ is harmonic if $u$ is harmonic

Prove that $\nabla \times (\nabla \times \vec A) = \nabla(\nabla \cdot \vec A) - \nabla^2\vec A$. For any vector function of $\vec A$.

Solve the mixed value problem for $1$-D wave equation

Complex interpolation of spaces defined by operator with bounded imaginary powers

Mean curvature equals to the Laplacian of the position vector?

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