List questions from harmonic-functions

Published on 23 Feb 2026 - 6:01

112

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Weird question: can we define harmonic at a point?

Published on 11 Oct 2021 - 19:55

85

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Maximum Principle on Harmonic Laplace equation on rectangle

Published on 28 Mar 2026 - 2:03

122

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If $u$ is a harmonic function, then $|D^\alpha u(x)| \le c\|u\|_{L^1(B(x, r))}/r^{n + |\alpha|}$

Published on 17 Oct 2021 - 9:45

371

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Doubt about the strong maximum principle on unbounded sets

Published on 28 Mar 2026 - 2:03

75

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Alternative proof of the converse of the mean value theorem.

Published on 20 Oct 2021 - 5:08

141

Views

$\ln |f|$ is harmonic where $f$ is holomorphic

Published on 20 Oct 2021 - 22:08

369

Views

Harmonic function extension and Conformal maps

Published on 29 Mar 2026 - 20:47

69

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If $\Delta u=0, \text{then}\, \exists v \ni \Delta v=0$ with $u$ and $v$ are harmonic functions.

Published on 28 Oct 2021 - 6:57

70

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Periods of Conjugates of Harmonic Measures

Published on 28 Oct 2021 - 21:20

40

Views

Separation of variables for the laplacian in half space.

Published on 30 Oct 2021 - 14:06

311

Views

A harmonic function on an annulus

Published on 02 Nov 2021 - 1:42

161

Views

Change of variables and making boundary data homogeneous in Laplace equation

Published on 28 Mar 2026 - 21:06

58

Views

Regarding the Definition of Harmonic Current on a Compact Complex Manifold

Published on 26 Mar 2026 - 12:46

361

Views

Decay of a finite energy harmonic function

Published on 05 Nov 2021 - 19:14

List Question

Is the viscosity solution of Laplacian harmonic?

Weird question: can we define harmonic at a point?

Maximum Principle on Harmonic Laplace equation on rectangle

If $u$ is a harmonic function, then $|D^\alpha u(x)| \le c\|u\|_{L^1(B(x, r))}/r^{n + |\alpha|}$

Doubt about the strong maximum principle on unbounded sets

Alternative proof of the converse of the mean value theorem.

$\ln |f|$ is harmonic where $f$ is holomorphic

Harmonic function extension and Conformal maps

If $\Delta u=0, \text{then}\, \exists v \ni \Delta v=0$ with $u$ and $v$ are harmonic functions.

Periods of Conjugates of Harmonic Measures

Separation of variables for the laplacian in half space.

A harmonic function on an annulus

Change of variables and making boundary data homogeneous in Laplace equation

Regarding the Definition of Harmonic Current on a Compact Complex Manifold

Decay of a finite energy harmonic function

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