List questions from laplacian

Published on 30 Nov 2021 - 15:51

350

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Potential flow around ellipse

Published on 29 Mar 2026 - 22:25

2.2k

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Proof for the Laplacian of scalar fields using index notation

Published on 26 Mar 2026 - 12:06

124

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Which of the following functions are harmonic

Published on 08 Dec 2021 - 9:13

407

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Casimir Operator and Laplacian

Published on 08 Dec 2021 - 15:11

86

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Show that the Laplacian of a function $f$ is $\Delta^2 f=(\frac{n−1}{r})g'(r)+g''(r)$

Published on 10 Dec 2021 - 16:09

356

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Subharmonic Functions on Closed Manifolds are Constant?

Published on 26 Mar 2026 - 9:26

84

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$u\in C_0^3(\Omega)$ satisfis $ -\Delta u=f(x), x\in\Omega. $Prove that $ \sum_{i,j=1}^{n}\int_\Omega u^2_{x_i x_j} dx\leq n\int_{\Omega}f^2 dx. $

Published on 27 Mar 2026 - 6:51

80

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Solve Laplacian equation with Green's function in 1D

Published on 27 Mar 2026 - 18:07

246

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Calculating the laplacian for a metric

Published on 27 Mar 2026 - 4:17

387

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Harmonic polynomials property

Published on 27 Mar 2026 - 0:01

102

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A question about the laplacian of homogeneous functions.

Published on 27 Mar 2026 - 0:04

62

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The Laplacian of the squared length of a (0,2)-tensor

Published on 23 Dec 2021 - 16:03

85

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How is Laplacian of Exponential Times Function Simplified?

Published on 25 Dec 2021 - 23:23

441

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inverse laplace operator bounded

Published on 27 Mar 2026 - 18:08

List Question

Applying Hankel transform for axisymmetric internal heat source

Potential flow around ellipse

Proof for the Laplacian of scalar fields using index notation

Which of the following functions are harmonic

Casimir Operator and Laplacian

Show that the Laplacian of a function $f$ is $\Delta^2 f=(\frac{n−1}{r})g'(r)+g''(r)$

Subharmonic Functions on Closed Manifolds are Constant?

$u\in C_0^3(\Omega)$ satisfis $ -\Delta u=f(x), x\in\Omega. $Prove that $ \sum_{i,j=1}^{n}\int_\Omega u^2_{x_i x_j} dx\leq n\int_{\Omega}f^2 dx. $

Solve Laplacian equation with Green's function in 1D

Calculating the laplacian for a metric

Harmonic polynomials property

A question about the laplacian of homogeneous functions.

The Laplacian of the squared length of a (0,2)-tensor

How is Laplacian of Exponential Times Function Simplified?

inverse laplace operator bounded

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