List questions from harmonic-functions

Published on 07 May 2026 - 16:42

150

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Harmonic functions satisfying given inequality

Published on 29 Apr 2026 - 12:25

247

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Is there Phragmen-Lindelof for $\mathbb{C}_+$ where $f$ is not bounded on $i\mathbb{R}$ but has polynomial growth?

Published on 03 May 2026 - 8:49

874

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Solution of a non homogeneous Laplace equation on the unit disk.

Published on 28 Apr 2026 - 12:12

1.2k

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Complex Analysis - Harmonic function as real part of holomorphic function

Published on 02 May 2026 - 18:20

175

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Show that u is harmonic

Published on 10 May 2026 - 13:30

136

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Physicists construct their potentials starting from the Laplace equation, why they do not use another differential operator, like theta Θ?

Published on 29 Apr 2026 - 12:23

191

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Prove a family of harmonic functions is locally bounded

Published on 07 May 2026 - 14:17

369

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Why is $ u=\log(\sqrt{x^2+y^2})$ not harmonic for $x^2 + y^2 <1$?

Published on 30 Apr 2026 - 4:36

905

Views

Modulus and argument of a holomorphic function.

Published on 05 May 2026 - 9:54

454

Views

Finding the most general $2$nd degree polynomial that satisfies the Laplace equation

Published on 05 May 2026 - 12:21

242

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Showing that a function is harmonic

Published on 29 Apr 2026 - 12:24

71

Views

Equation for Harmonic Saturation?

Published on 10 May 2026 - 11:18

453

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$|f|^{\alpha}$ and $\log (1+|f|^{\alpha})$ are subharmonic if $f$ is holomorphic

Published on 10 May 2026 - 11:21

188

Views

Making sense of $2{\rm grad}(\langle H,H\rangle) + 4 {\rm trace}(A_{DH}) = 0$

Published on 04 May 2026 - 4:03

List Question

Harmonicity is a local property?

Harmonic functions satisfying given inequality

Is there Phragmen-Lindelof for $\mathbb{C}_+$ where $f$ is not bounded on $i\mathbb{R}$ but has polynomial growth?

Solution of a non homogeneous Laplace equation on the unit disk.

Complex Analysis - Harmonic function as real part of holomorphic function

Show that u is harmonic

Physicists construct their potentials starting from the Laplace equation, why they do not use another differential operator, like theta Θ?

Prove a family of harmonic functions is locally bounded

Why is $ u=\log(\sqrt{x^2+y^2})$ not harmonic for $x^2 + y^2 <1$?

Modulus and argument of a holomorphic function.

Finding the most general $2$nd degree polynomial that satisfies the Laplace equation

Showing that a function is harmonic

Equation for Harmonic Saturation?

$|f|^{\alpha}$ and $\log (1+|f|^{\alpha})$ are subharmonic if $f$ is holomorphic

Making sense of $2{\rm grad}(\langle H,H\rangle) + 4 {\rm trace}(A_{DH}) = 0$

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