List questions from harmonic-functions

Published on 03 Apr 2026 - 0:18

86

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Harmonic function: a simple question

Published on 03 Apr 2026 - 0:15

205

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Fourier transform of $e^{-|x|^4}$

Published on 25 Mar 2026 - 9:34

41

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The nodal lines of homogeneous harmonic polynomials divide $\mathbb{R}^2$ into $2N$ regions.

Published on 02 Dec 2022 - 4:29

132

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How to convert a Neumann problem into a Dirichlet problem

Published on 02 Dec 2022 - 12:53

186

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An inequality for harmonic functions

Published on 02 Dec 2022 - 15:31

77

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If $u_1(z)u_2(z)\equiv 0$ on a simply connected domain then either $u_1\equiv 0$ or $u_2\equiv 0$

Published on 06 Dec 2022 - 8:56

30

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What does $r_*$ represent in Poisson's formula for the Laplace equation on a disk?

Published on 07 Dec 2022 - 14:17

80

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Show that ${1\over\pi}\iint_{\Bbb D}|\psi'_\alpha|^2\ dxdy =1$

Published on 09 Dec 2022 - 8:24

105

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Definition of plurisubharmonic function

Published on 29 Mar 2026 - 5:42

39

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How to determine the number of unique intersections for multiple oscillating curves on the x-axis?

Published on 20 Dec 2022 - 20:27

39

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Can I expand arbitrary functinos by the solution of 3-D Laplace eqution?

Published on 23 Dec 2022 - 11:46

87

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Bounding harmonic function on a strip.

Published on 24 Dec 2022 - 8:29

89

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Invariance of the Poisson integral under inversions

Published on 23 Feb 2026 - 11:42

101

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Three circle theorem subharmonic functions

Published on 28 Mar 2026 - 12:38

List Question

Harmonic function $u(x)$ is constantly $0$ when $|u(x)| \leq \sqrt{|x|}$

Harmonic function: a simple question

Fourier transform of $e^{-|x|^4}$

The nodal lines of homogeneous harmonic polynomials divide $\mathbb{R}^2$ into $2N$ regions.

How to convert a Neumann problem into a Dirichlet problem

An inequality for harmonic functions

If $u_1(z)u_2(z)\equiv 0$ on a simply connected domain then either $u_1\equiv 0$ or $u_2\equiv 0$

What does $r_*$ represent in Poisson's formula for the Laplace equation on a disk?

Show that ${1\over\pi}\iint_{\Bbb D}|\psi'_\alpha|^2\ dxdy =1$

Definition of plurisubharmonic function

How to determine the number of unique intersections for multiple oscillating curves on the x-axis?

Can I expand arbitrary functinos by the solution of 3-D Laplace eqution?

Bounding harmonic function on a strip.

Invariance of the Poisson integral under inversions

Three circle theorem subharmonic functions

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