List questions from harmonic-functions

Published on 24 Aug 2016 - 10:52

140

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Show that a function has the same period as another from a fourier series

Published on 24 Aug 2016 - 12:34

545

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harmonic function bounded is constant

Published on 27 Aug 2016 - 23:06

524

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How can we use sin/cos for things like simple harmonic motion or any periodic type?

Published on 28 Aug 2016 - 15:48

108

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Why two different methods give two different answers to prove that $u=x^3-3xy^2$ is a harmonic function and find its harmonic conjugate

Published on 02 Sep 2016 - 7:53

192

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Why are we interested in this kind of second variation?

Published on 03 Sep 2016 - 21:01

2.8k

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Proving the mean value property for harmonic functions using Green's second identity

Published on 08 Sep 2016 - 2:27

863

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composition of stereographic projections is inversion through the ball - a geometric way

Published on 14 Sep 2016 - 23:40

143

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What is $\dim \text{Harm}^k(\mathbb{R}^n, \text{SO}_n(\mathbb{R}))$?

Published on 19 Sep 2016 - 14:19

1k

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Green's functions for Laplace equation with distribution as source

Published on 26 Mar 2026 - 13:01

317

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Proving the multiplicity of eigenvalues of the Laplacian on a disk?

Published on 22 Sep 2016 - 17:08

960

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poisson integral formula unit ball

Published on 28 Mar 2026 - 10:15

270

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Complex analysis, harmonic conjugate determined up to a constant?

Published on 26 Mar 2026 - 1:26

1.8k

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Laplace's equation for a semi infinite strip

Published on 25 Sep 2016 - 16:08

177

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Laplace equation with source term of $\delta(y) ( H(x) - H(-x) )$

Published on 25 Sep 2016 - 19:01

List Question

Is mean value property for all $r$ equivalent to mean value property for a specific $r$?

Show that a function has the same period as another from a fourier series

harmonic function bounded is constant

How can we use sin/cos for things like simple harmonic motion or any periodic type?

Why two different methods give two different answers to prove that $u=x^3-3xy^2$ is a harmonic function and find its harmonic conjugate

Why are we interested in this kind of second variation?

Proving the mean value property for harmonic functions using Green's second identity

composition of stereographic projections is inversion through the ball - a geometric way

What is $\dim \text{Harm}^k(\mathbb{R}^n, \text{SO}_n(\mathbb{R}))$?

Green's functions for Laplace equation with distribution as source

Proving the multiplicity of eigenvalues of the Laplacian on a disk?

poisson integral formula unit ball

Complex analysis, harmonic conjugate determined up to a constant?

Laplace's equation for a semi infinite strip

Laplace equation with source term of $\delta(y) ( H(x) - H(-x) )$

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