Question

Proof that the harmonic function defined by the Poisson integral is continuous on the boundary of a ball.

score 240 · Answer 1 · 2019-07-20 12:17:43

240

Views

Proof that the harmonic function defined by the Poisson integral is continuous on the boundary of a ball.

Published on 20 Jul 2019 - 12:17

score 100 · Answer 2 · 2019-07-26 13:25:03

100

Views

How do I show that the map is orientation preserving?

Published on 26 Jul 2019 - 13:25

score 54 · Answer 3 · 2019-07-26 16:53:57

54

Views

The topology of the level set of real valued harmonic function through the critical point

Published on 26 Jul 2019 - 16:53

score 40 · Answer 4 · 2019-07-30 01:54:53

40

Views

Question about harmonic functions and complex numbers

Published on 30 Jul 2019 - 1:54

score 500 · Answer 5 · 2026-03-26 13:01:35

500

Views

Green's identity and gradient estimate

Published on 26 Mar 2026 - 13:01

score 225 · Answer 6 · 2026-03-26 04:30:41

225

Views

Existence of Inverse Fourier Transform for a function

Published on 26 Mar 2026 - 4:30

score 846 · Answer 7 · 2026-03-26 09:49:34

846

Views

Book recommendation: compact Riemann surfaces

Published on 26 Mar 2026 - 9:49

score 187 · Answer 8 · 2026-03-25 22:04:23

187

Views

Holomorphic function $f = u + iv$ on closed punctured unit disk such that $f$ has a non-removable singularity at $0$ and $u$ is harmonic at $0$.

Published on 25 Mar 2026 - 22:04

score 836 · Answer 9 · 2019-08-11 01:06:48

836

Views

Identity principle for harmonic functions

Published on 11 Aug 2019 - 1:06

score 59 · Answer 10 · 2019-08-14 00:19:15

59

Views

Bounded harmonic function on slit upper half-plane

Published on 14 Aug 2019 - 0:19

score 58 · Answer 11 · 2019-08-14 08:52:45

58

Views

Heuristic argument to prove integrable harmonic function is null

Published on 14 Aug 2019 - 8:52

score 31 · Answer 12 · 2019-08-15 07:35:22

31

Views

Equivalent definition of subharmonicity on a Riemann surface

Published on 15 Aug 2019 - 7:35

score 277 · Answer 13 · 2019-08-15 19:57:28

277

Views

Laplace Equation on Rectangle with Inhomogeneous Neumann BCs and PBCs

Published on 15 Aug 2019 - 19:57

score 20 · Answer 14 · 2019-08-18 14:56:03

20

Views

The imaginary part $~v~$ is equal to $~\frac{1}{2} \log(x+y)~$ . Verify whether it is harmonic or not?

Published on 18 Aug 2019 - 14:56

score 72 · Answer 15 · 2019-08-19 01:11:21

72

Views

Confusing sign error in proof of Jensen's formula

Published on 19 Aug 2019 - 1:11

List Question

Proof that the harmonic function defined by the Poisson integral is continuous on the boundary of a ball.

How do I show that the map is orientation preserving?

The topology of the level set of real valued harmonic function through the critical point

Question about harmonic functions and complex numbers

Green's identity and gradient estimate

Existence of Inverse Fourier Transform for a function

Book recommendation: compact Riemann surfaces

Holomorphic function $f = u + iv$ on closed punctured unit disk such that $f$ has a non-removable singularity at $0$ and $u$ is harmonic at $0$.

Identity principle for harmonic functions

Bounded harmonic function on slit upper half-plane

Heuristic argument to prove integrable harmonic function is null

Equivalent definition of subharmonicity on a Riemann surface

Laplace Equation on Rectangle with Inhomogeneous Neumann BCs and PBCs

The imaginary part $~v~$ is equal to $~\frac{1}{2} \log(x+y)~$ . Verify whether it is harmonic or not?

Confusing sign error in proof of Jensen's formula

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