List questions from harmonic-functions

Published on 11 Nov 2019 - 1:14

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Closed form of series with the help of Harmonic series and generating functions

Published on 13 Nov 2019 - 15:26

46

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Math discrete: Proof by induction of harmonic serie

Published on 14 Nov 2019 - 0:18

58

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question on Poisson equation with solution not in $H_0^1$

Published on 14 Nov 2019 - 13:07

205

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Let $u$ be a harmonic function in $\mathbb{R}^n$ with $\int_\mathbb{R} |u|^p < \infty$. Then $u \equiv 0$.

Published on 15 Nov 2019 - 0:46

65

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Determining function who satisfies Laplace equation.

Published on 15 Nov 2019 - 4:30

96

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Can't retrieve Legendre equation from Laplace equation

Published on 23 Feb 2026 - 13:26

166

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Can we approximate harmonic functions with harmonic functions with non-vanishing differential?

Published on 20 Nov 2019 - 12:55

279

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Show that the Laplace equation is rotation invariant.

Published on 20 Nov 2019 - 18:43

82

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Is every one-form satisfying these equations closed and co-closed?

Published on 21 Nov 2019 - 7:49

129

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Lower and upper bounds for harmonic functions

Published on 25 Mar 2026 - 22:11

27

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Show that if $f(\cdot)$ is a super-harmonic function, then so is $f(\cdot)+c$ for any real number $c$.

Published on 02 Dec 2019 - 0:13

126

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How to extend a harmonic function from $B\backslash K$ to $B$?

Published on 02 Dec 2019 - 6:55

317

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When is the square of the module of an analytic function harmonic?

Published on 03 Dec 2019 - 18:32

899

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Minimum principle of superharmonic functions

Published on 07 Dec 2019 - 0:19

List Question

Harmonic function on a ring

Closed form of series with the help of Harmonic series and generating functions

Math discrete: Proof by induction of harmonic serie

question on Poisson equation with solution not in $H_0^1$

Let $u$ be a harmonic function in $\mathbb{R}^n$ with $\int_\mathbb{R} |u|^p < \infty$. Then $u \equiv 0$.

Determining function who satisfies Laplace equation.

Can't retrieve Legendre equation from Laplace equation

Can we approximate harmonic functions with harmonic functions with non-vanishing differential?

Show that the Laplace equation is rotation invariant.

Is every one-form satisfying these equations closed and co-closed?

Lower and upper bounds for harmonic functions

Show that if $f(\cdot)$ is a super-harmonic function, then so is $f(\cdot)+c$ for any real number $c$.

How to extend a harmonic function from $B\backslash K$ to $B$?

When is the square of the module of an analytic function harmonic?

Minimum principle of superharmonic functions

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