Question

Harmonic function if $\lim \frac{u(z)}{\log |z-z_0|}=0$, then $u$ is harmonic

score 379 · Answer 1 · 2020-02-06 17:22:15

379

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Harmonic function if $\lim \frac{u(z)}{\log |z-z_0|}=0$, then $u$ is harmonic

Published on 06 Feb 2020 - 17:22

score 44 · Answer 2 · 2026-03-25 22:04:40

44

Views

Finding solutions to $ \int_{\mathbb{R}^d} \Psi(x) \Delta f(x) dx = f(0). $

Published on 25 Mar 2026 - 22:04

score 414 · Answer 3 · 2026-03-25 20:39:51

414

Views

Evans PDE, Problem 5, Chapter 2

Published on 25 Mar 2026 - 20:39

score 226 · Answer 4 · 2020-02-08 13:50:34

226

Views

harmonic function and mapping of an annulus

Published on 08 Feb 2020 - 13:50

score 217 · Answer 5 · 2026-03-25 22:11:27

217

Views

harmonic function with Laplace equation

Published on 25 Mar 2026 - 22:11

score 28 · Answer 6 · 2020-02-21 21:54:30

28

Views

What is the biggest domain in which $f(z)$ is harmonic?

Published on 21 Feb 2020 - 21:54

score 318 · Answer 7 · 2026-03-25 20:35:38

318

Views

Equivalence of two harmonic problems on different domains

Published on 25 Mar 2026 - 20:35

score 17 · Answer 8 · 2026-03-16 00:34:53

17

Views

Non-negativity of the Toeplitz forms for harmonic functions

Published on 16 Mar 2026 - 0:34

score 381 · Answer 9 · 2020-03-01 08:27:49

381

Views

Maximum Principle for Positive Laplacian

Published on 01 Mar 2020 - 8:27

score 45 · Answer 10 · 2026-03-26 19:37:30

45

Views

Function to describe a simple harmonic oscillator with asymmetric damping

Published on 26 Mar 2026 - 19:37

score 159 · Answer 11 · 2020-03-06 03:17:50

159

Views

The $L^{1}$ convergence of $f_{k}(x):=f(kx)$ where $f(x)$ is a $2\pi-$periodic function

Published on 06 Mar 2020 - 3:17

score 34 · Answer 12 · 2026-03-26 04:14:44

34

Views

Can you extend differentiability in $\mathbb{R}^2$ of real and imaginary parts of a function to say the function is entire in $\mathbb{C}$

Published on 26 Mar 2026 - 4:14

score 152 · Answer 13 · 2020-03-18 16:22:06

152

Views

For $h,k$ harmonic prove that $hk$ is harmonic if and only if $h +ick$ is holomorphic.

Published on 18 Mar 2020 - 16:22

score 115 · Answer 14 · 2020-03-18 21:50:04

115

Views

Harmonic conjugate on a simply connected domain existence proof with the skew-gradient

Published on 18 Mar 2020 - 21:50

score 285 · Answer 15 · 2020-03-24 14:26:28

285

Views

A real harmonic function on $\Bbb C-\{0\}$ which is bounded above must be a constant.

Published on 24 Mar 2020 - 14:26

List Question

Harmonic function if $\lim \frac{u(z)}{\log |z-z_0|}=0$, then $u$ is harmonic

Finding solutions to $ \int_{\mathbb{R}^d} \Psi(x) \Delta f(x) dx = f(0). $

Evans PDE, Problem 5, Chapter 2

harmonic function and mapping of an annulus

harmonic function with Laplace equation

What is the biggest domain in which $f(z)$ is harmonic?

Equivalence of two harmonic problems on different domains

Non-negativity of the Toeplitz forms for harmonic functions

Maximum Principle for Positive Laplacian

Function to describe a simple harmonic oscillator with asymmetric damping

The $L^{1}$ convergence of $f_{k}(x):=f(kx)$ where $f(x)$ is a $2\pi-$periodic function

Can you extend differentiability in $\mathbb{R}^2$ of real and imaginary parts of a function to say the function is entire in $\mathbb{C}$

For $h,k$ harmonic prove that $hk$ is harmonic if and only if $h +ick$ is holomorphic.

Harmonic conjugate on a simply connected domain existence proof with the skew-gradient

A real harmonic function on $\Bbb C-\{0\}$ which is bounded above must be a constant.

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