List questions from harmonic-functions

55

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If $u$ is a positive harmonic function on an open set $V$ that vanishes on $V^c$, then $u$ is subharmonic

Published on 05 Apr 2026 - 10:04

81

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What makes kernels of PDEs interesting?

Published on 12 Aug 2022 - 10:41

2.9k

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Proof of Maximum Principle for Harmonic Functions

Published on 28 Mar 2026 - 9:27

41

Views

Extend Kähler form to a point

Published on 29 Mar 2026 - 4:09

88

Views

About superharmonic functions

Published on 25 Mar 2026 - 9:22

252

Views

Maximum modulus principle for harmonic functions on a disk

Published on 28 Mar 2026 - 10:54

120

Views

If $u$ is harmonic, is $|Du|^2$ continuous up to boundary?

Published on 06 Sep 2022 - 17:38

55

Views

Canonical inverse for Laplacian operator in $C^\infty(\mathbb R^n)$

Published on 02 Apr 2026 - 20:54

39

Views

Can a function be harmonic on a closed set?

Published on 18 Sep 2022 - 15:46

130

Views

How is the harmonic map related to the second fundamental form?

Published on 02 Oct 2022 - 18:20

52

Views

Partial Sum Formula of Yet Another Harmonic Series...

Published on 02 Apr 2026 - 3:56

39

Views

Harmonic measure: calculating a limit

Published on 06 Oct 2022 - 11:35

28

Views

Can $\text{Li}_2(x/y)$ be expressed as a sum of other $\text{Li}_2$?

Published on 29 Mar 2026 - 3:03

108

Views

Non-constant harmonic functions on $\mathbb{R}^n$ are surjective

Published on 08 Oct 2022 - 23:11

121

Views

Change of variables in Elliptic equations

Published on 23 Feb 2026 - 6:37

List Question

If $u$ is a positive harmonic function on an open set $V$ that vanishes on $V^c$, then $u$ is subharmonic

What makes kernels of PDEs interesting?

Proof of Maximum Principle for Harmonic Functions

Extend Kähler form to a point

About superharmonic functions

Maximum modulus principle for harmonic functions on a disk

If $u$ is harmonic, is $|Du|^2$ continuous up to boundary?

Canonical inverse for Laplacian operator in $C^\infty(\mathbb R^n)$

Can a function be harmonic on a closed set?

How is the harmonic map related to the second fundamental form?

Partial Sum Formula of Yet Another Harmonic Series...

Harmonic measure: calculating a limit

Can $\text{Li}_2(x/y)$ be expressed as a sum of other $\text{Li}_2$?

Non-constant harmonic functions on $\mathbb{R}^n$ are surjective

Change of variables in Elliptic equations

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