Question

Confusion with the formula for harmonic conjugate

score 186 · Answer 1 · 2026-04-12 15:30:12

186

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Confusion with the formula for harmonic conjugate

Published on 12 Apr 2026 - 15:30

score 96 · Answer 2 · 2026-04-14 20:33:00

96

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Hardy space and extension to L2: convergence theorems

Published on 14 Apr 2026 - 20:33

score 277 · Answer 3 · 2026-04-09 19:09:51

277

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Mapping the solution to Laplace equation with Dirichlet and Neumann boundary conditions from half-plane to quadrant

Published on 09 Apr 2026 - 19:09

score 78 · Answer 4 · 2026-05-11 04:23:57

78

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Correct form of the Laplacian on a 1-D ellipse, and it's solutions

Published on 11 May 2026 - 4:23

score 202 · Answer 5 · 2026-05-10 13:44:58

202

Views

Harmonic functions interpolation

Published on 10 May 2026 - 13:44

score 236 · Answer 6 · 2026-04-13 21:45:42

236

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Laplace's Equation - Existence and Uniqueness with Robin conditions on an annulus

Published on 13 Apr 2026 - 21:45

score 69 · Answer 7 · 2026-04-13 21:55:05

69

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counter-example to holomorphic transformations of harmonic functions?

Published on 13 Apr 2026 - 21:55

score 361 · Answer 8 · 2026-04-14 19:04:06

361

Views

Interior gradient estimate harmonic function: decay estimate

Published on 14 Apr 2026 - 19:04

score 4.8k · Answer 9 · 2026-04-13 14:34:37

4.8k

Views

The harmonic conjugate of the function

Published on 13 Apr 2026 - 14:34

score 857 · Answer 10 · 2026-05-10 20:01:30

857

Views

PDE Laplace equation. Integral representation form and Green function

Published on 10 May 2026 - 20:01

score 3k · Answer 11 · 2026-05-10 17:56:02

3k

Views

Harmonic functions and Maximum Modulus Principle. (Real harmonic function implies holomorphic function?)

Published on 10 May 2026 - 17:56

score 84 · Answer 12 · 2026-05-10 13:51:02

84

Views

Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

Published on 10 May 2026 - 13:51

score 295 · Answer 13 · 2026-04-15 22:12:28

295

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How to find the harmonic conjugate of $v(x,y)=\log((x-1)^2 +(y-2)^2)$?

Published on 15 Apr 2026 - 22:12

score 120 · Answer 14 · 2026-04-14 19:14:36

120

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Why is it that for a hamonic $u$, $\int_{\gamma}*du = 0$ for any cycle $\gamma$ then $u$ has a harmonic function there?

Published on 14 Apr 2026 - 19:14

score 1k · Answer 15 · 2026-04-10 20:09:47

1k

Views

Proving an integral formula containing the Poisson kernel

Published on 10 Apr 2026 - 20:09

List Question

Confusion with the formula for harmonic conjugate

Hardy space and extension to L2: convergence theorems

Mapping the solution to Laplace equation with Dirichlet and Neumann boundary conditions from half-plane to quadrant

Correct form of the Laplacian on a 1-D ellipse, and it's solutions

Harmonic functions interpolation

Laplace's Equation - Existence and Uniqueness with Robin conditions on an annulus

counter-example to holomorphic transformations of harmonic functions?

Interior gradient estimate harmonic function: decay estimate

The harmonic conjugate of the function

PDE Laplace equation. Integral representation form and Green function

Harmonic functions and Maximum Modulus Principle. (Real harmonic function implies holomorphic function?)

Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

How to find the harmonic conjugate of $v(x,y)=\log((x-1)^2 +(y-2)^2)$?

Why is it that for a hamonic $u$, $\int_{\gamma}*du = 0$ for any cycle $\gamma$ then $u$ has a harmonic function there?

Proving an integral formula containing the Poisson kernel

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