List questions from harmonic-functions

Published on 04 Apr 2016 - 9:17

313

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Harmonic function with injective boundary conditions is an immersion?

Published on 05 Apr 2016 - 14:37

651

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Relation between Poisson kernel and harmonic measure

Published on 06 Apr 2016 - 15:00

96

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What does it mean for a complex-valued function to be bounded above (or below)?

Published on 08 Apr 2016 - 13:04

88

Views

Computing $\int_D x^3-3xy^2\,{\rm d}x\,{\rm d}y$ using the mean value property.

Published on 09 Apr 2016 - 4:44

215

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Properties of harmonic function on $\mathbb{R}^2$

Published on 12 Apr 2016 - 14:43

91

Views

Stuck while trying to show fundamental solution $\frac{1}{2\pi}\ln|x|$ satisfies $\Delta \phi(x) = \delta(x)$ in 2d?

Published on 31 Mar 2026 - 17:50

128

Views

Laplace transform

Published on 28 Mar 2026 - 9:44

19

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Are there identities which will make calculating $\Delta \frac{e^{ik|x|}}{|x|}$ more efficient and clearer?

Published on 26 Mar 2026 - 21:09

3.8k

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How to prove Liouville's theorem for subharmonic functions

Published on 15 Apr 2016 - 14:40

316

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Newton potential for Neumann problem on unit disk

Published on 28 Mar 2026 - 2:48

768

Views

Bounds on derivatives of harmonic functions on unit ball

Published on 20 Apr 2016 - 13:07

55

Views

Harmonicity on semisimple groups

Published on 21 Apr 2016 - 0:18

83

Views

Plotting Spherical Coordinates

Published on 29 Mar 2026 - 14:17

487

Views

Uniform Convergence: Poisson Kernel

Published on 23 Apr 2016 - 0:15

List Question

Does harmonic decomposition preserve immersions?

Harmonic function with injective boundary conditions is an immersion?

Relation between Poisson kernel and harmonic measure

What does it mean for a complex-valued function to be bounded above (or below)?

Computing $\int_D x^3-3xy^2\,{\rm d}x\,{\rm d}y$ using the mean value property.

Properties of harmonic function on $\mathbb{R}^2$

Stuck while trying to show fundamental solution $\frac{1}{2\pi}\ln|x|$ satisfies $\Delta \phi(x) = \delta(x)$ in 2d?

Laplace transform

Are there identities which will make calculating $\Delta \frac{e^{ik|x|}}{|x|}$ more efficient and clearer?

How to prove Liouville's theorem for subharmonic functions

Newton potential for Neumann problem on unit disk

Bounds on derivatives of harmonic functions on unit ball

Harmonicity on semisimple groups

Plotting Spherical Coordinates

Uniform Convergence: Poisson Kernel

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