List questions from harmonic-functions

Published on 22 May 2018 - 11:13

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Finding the Green's function for a 2D domain

Published on 26 May 2018 - 12:46

457

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Laplace Equation on Rectangle & Fourier Series

Published on 28 May 2018 - 15:32

228

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Subharmonic on $U$ iff subharmonic on each $U_{\alpha}$, where $(U_{\alpha})$ is an open cover of $U$

Published on 23 Mar 2026 - 10:21

312

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Laplace equation on a sphere

Published on 25 Mar 2026 - 2:59

617

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How to derive the representation formula from $\mathbb R^3$ to $\mathbb R^2$?

Published on 01 Jun 2018 - 2:46

80

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Voltage function on a symmetric graph

Published on 25 Mar 2026 - 7:40

63

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Showing that $u$ is continuous in $\overline{\mathbb{D}}$

Published on 01 Jun 2018 - 16:40

436

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Laplace equation inside a sphere

Published on 25 Mar 2026 - 6:09

173

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Does the this converse of the MVT hold true for harmonic functions?

Published on 03 Jun 2018 - 14:23

588

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Differential Equations: Which values of b = damping coefficient does the typical solution approach the equilibrium position most rapidly

Published on 17 Mar 2026 - 11:04

2.6k

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Removable singularity for harmonic functions

Published on 25 Mar 2026 - 1:13

36

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Showing $f$ holomorph $\Rightarrow$ $\nabla^2(|f|^2)\ge0$

Published on 07 Jun 2018 - 14:57

519

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A function which satisfies Laplace's Equation but is not Harmonic

Published on 07 Jun 2018 - 16:01

999

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Are spherical harmonics harmonic?

Published on 25 Mar 2026 - 1:14

List Question

How do I use Laplace's equation to solve this differential equation?

Finding the Green's function for a 2D domain

Laplace Equation on Rectangle & Fourier Series

Subharmonic on $U$ iff subharmonic on each $U_{\alpha}$, where $(U_{\alpha})$ is an open cover of $U$

Laplace equation on a sphere

How to derive the representation formula from $\mathbb R^3$ to $\mathbb R^2$?

Voltage function on a symmetric graph

Showing that $u$ is continuous in $\overline{\mathbb{D}}$

Laplace equation inside a sphere

Does the this converse of the MVT hold true for harmonic functions?

Differential Equations: Which values of b = damping coefficient does the typical solution approach the equilibrium position most rapidly

Removable singularity for harmonic functions

Showing $f$ holomorph $\Rightarrow$ $\nabla^2(|f|^2)\ge0$

A function which satisfies Laplace's Equation but is not Harmonic

Are spherical harmonics harmonic?

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